# bib

id: em-362
author: Gil', M.I.
title: On angular localization of spectra of perturbed operators
date: 2020-12-01
pages: 8
extension: .pdf
mime: application/pdf
words: 2210
sentence: 176
flesch: 79
cache: cache/em-362.pdf
txt: txt/em-362.txt
summary:
  By B(H) we denote the set of bounded operators in H. For an A ∈ B(H), A∗ is the adjoint operator, ‖A‖ is the operator norm and σ(A) is the spectrum. Applications of the obtained results to integral operators are also discussed.


id: em-125
author: Vamshee Krishna, D. ; Shalini, D.
title: On H3 (1) Hankel determinant for certain subclass of analytic functions
date: 2020-06-01
pages: 8
extension: .pdf
mime: application/pdf
words: 2683
sentence: 189
flesch: 82
cache: cache/em-125.pdf
txt: txt/em-125.txt
summary:
  On H3(1) Hankel determinant for certain subclass of analytic functions D. Vamshee Krishna 1,@, D. Shalini 2 1 Department of Mathematics, GIS, GITAM University Visakhapatnam- 530 045, A.P., India 2 Department of Mathematics, Dr. B. R. Ambedkar University Srikakulam- 532 410, A.P., India vamsheekrishna1972@gmail.com , Abstract: The objective of this paper is to obtain an upper bound to Hankel determinant of third order for any function f, when it belongs to certain subclass of analytic functions, defined on the open unit disc in the complex plane.


id: em-359
author: Kim, Sung Guen
title: Extreme and exposed points of L(^n l^2_∞ ) and L_s (^n l^2_∞)
date: 2020-12-01
pages: 9
extension: .pdf
mime: application/pdf
words: 2525
sentence: 363
flesch: 98
cache: cache/em-359.pdf
txt: txt/em-359.txt
summary:
  ,a2n ∈ R. By simplicity, we denote T = (a1, · · · ,a2n )t. Let W1, . . . ,bn ∈ R. By simplicity, we denote T = (b0, · · · ,bn)t.


id: em-1886
author: Weigt, Martin
title: A note on isomorphisms of quantum systems
date: 2022-12-14
pages: 9
extension: .pdf
mime: application/pdf
words: 3545
sentence: 210
flesch: 68
cache: cache/em-1886.pdf
txt: txt/em-1886.txt
summary:
  ∈ A is called bounded, if for some nonzero complex number λ, the set {(λx)n : n = 1, 2, 3, . . . By hypothesis and [10, Proposition 6.2.1], it follows that if x ∈ A is a positive element, then σ(φ(x))


id: em-1201
author: George, O.O.; Olaleru, J.O.; Adénı́ran, J.O.; Jaiyéolá, T.G.
title: On a class of power associative LCC-loops
date: 2022-12-01
pages: 10
extension: .pdf
mime: application/pdf
words: 3829
sentence: 269
flesch: 83
cache: cache/em-1201.pdf
txt: txt/em-1201.txt
summary:
  Our main result is Theorem 2.2 that proves that an LWPC loop is power associative, and that LWPC loops are exactly the LCC loops in which (xy · x)x = x(yx · x). If G is of odd order, then 2x may be replaced by x. Theorem 3.1 provides a tool how to construct LWPC loops that are not conjugacy closed.


id: em-1785
author: DiMarco, C.A.
title: Topological Hausdorff dimension and Poincaré inequality
date: 2022-12-01
pages: 11
extension: .pdf
mime: application/pdf
words: 3471
sentence: 225
flesch: 74
cache: cache/em-1785.pdf
txt: txt/em-1785.txt
summary:
  In order to define topological Hausdorff dimension, we include the defini- tion of Hausdorff dimension: Definition 2.1. A lower bound on topological Hausdorff dimension for Poincaré Ahlfors regular spaces To provide a nontrivial lower bound on dimtH X, it suffices to consider an arbitrary bounded basis element U for the topology on X, and show that dimH ∂U ≥ b−p, where b and p are the regularity and Poincaré constants of X, respectively.


id: em-126
author: Lee, S.C.; Varmazyar, R:
title: A remark on prime ideals
date: 2020-06-01
pages: 12
extension: .pdf
mime: application/pdf
words: 4382
sentence: 289
flesch: 84
cache: cache/em-126.pdf
txt: txt/em-126.txt
summary:
  Then there exist r ∈ R, m ∈ M such that x = rm and x ∈ (N :R r). = 〈 ∪r∈R ( rM ∩ (N :M r) )〉 = 〈 GM (N) 〉 (see [8, p. 3744]).


id: em-121
author: Tarizadeh, A.
title: On the projectivity of finitely generated flat modules
date: 2020-06-01
pages: 14
extension: .pdf
mime: application/pdf
words: 4803
sentence: 351
flesch: 78
cache: cache/em-121.pdf
txt: txt/em-121.txt
summary:
  Note that in general there are finitely generated flat modules which are not projective, see Example 2.9, also see [4, Tag 00NY] as another example (note that our example is so simple than the cited one; it is also applicable for other purposes). [8] which states that every projective mod- ule over a local ring is free, but this is not true for flat modules.


id: em-124
author: Sofo, A.
title: Identities in the spirit of Euler
date: 2020-06-01
pages: 14
extension: .pdf
mime: application/pdf
words: 3699
sentence: 214
flesch: 84
cache: cache/em-124.pdf
txt: txt/em-124.txt
summary:
  Sitaramachandra Rao, [12] gave the identity, for S(p,q), when p = 1 and for odd weight 1 + q as, 2S(1,q) = (1 + q)η(1 + q) − ζ(1 + q) − 2 q 2 −1∑ j=1 η(2j) ζ(1 + q − 2j) (1.7) 24 a. sofo and in another special case, gave the integral S(1, 1 + 2q) + (−1)p [ p2 ]∑ j=1 ( p + q − 2j − 1 p− 1 ) ζ(p + q − 2j)ζ(2j) (1.6) + (−1)p [ p2 ]∑ j=1 ( p + q − 2j − 1 q − 1 ) ζ(p + q − 2j)ζ(2j) + ζ(p + q) 2 ( 1 + (−1)p+1 ( p + q − 1 p )


id: em-361
author: Wrobel, Andrew J.
title: Mackey continuity of convex functions on dual Banach spaces: a review
date: 2020-12-01
pages: 11
extension: .pdf
mime: application/pdf
words: 4607
sentence: 199
flesch: 61
cache: cache/em-361.pdf
txt: txt/em-361.txt
summary:
  An earlier result of this kind is recalled also: it derives Mackey continuity from bounded Mackey continuity for a nondecreasing concave function, F, that is defined and finite only on the nonnegative cone L∞+ . For a finite-valued convex (or concave) f defined on the whole space, the equivalence of Mackey continuity to bounded Mackey continuity extends to the case of a general dual Banach space, P∗, as the domain of f: see Delbaen and Orihuela


id: em-1134
author: Cabello Sánchez, Javier
title: Order isomorphisms between bases of topologies
date: 2022-06-01
pages: 13
extension: .pdf
mime: application/pdf
words: 4953
sentence: 308
flesch: 77
cache: cache/em-1134.pdf
txt: txt/em-1134.txt
summary:
  Whenever Y ⊂ X is dense and U ⊂ X is open, one has UX Let X be a topological space and Y ⊂ X a dense subset.


id: em-2303
author: Sancho de Salas, J.B.
title: The fundamental theorem of affine geometry
date: 2023-07-20
pages: 15
extension: .pdf
mime: application/pdf
words: 5362
sentence: 377
flesch: 75
cache: cache/em-2303.pdf
txt: txt/em-2303.txt
summary:
  Which are the morphisms between affine spaces? The algebraic and synthetic definitions of affine space, although equivalent by Theorem 1.9, suggest different definitions of “morphism” between affine spaces. The definition of affine space Which are the morphisms between affine spaces? Fundamental Theorem


id: em-1359
author: Mohammed Salih, H.M; Rezhna M. Hussein, Rezhna M.
title: Genus zero of projective symplectic groups
date: 2022-12-01
pages: 16
extension: .pdf
mime: application/pdf
words: 5374
sentence: 315
flesch: 85
cache: cache/em-1359.pdf
txt: txt/em-1359.txt
summary:
  � EXTRACTA MATHEMATICAE Volumen 33, Número 2, 2018 instituto de investigación de matemáticas de la universidad de extremadura EXTRACTA MATHEMATICAE Vol. 37, Num. 2 (2022), 195 – 210 doi:10.17398/2605-5686.37.2.195 Available online July 4, 2022 Genus zero of projective symplectic groups H.M. Mohammed Salih, Rezhna M. Hussein Department of Mathematics, Faculty of Science, Soran University Kawa St. Soran, Erbil, Iraq havalmahmood07@gmail.com , rezhnarwandz@gmail.com Received January 17, 2022 Presented by A. Turull Accepted May 23, 2022 In this paper we consider a finite group G with genus zero of projective symplectic groups 197 PSp(4,q)


id: em-363
author: Babahmed, M.; El asri, Azzedine
title: Invariant subspace problem and compact operators on non-Archimedean Banach spaces
date: 2020-12-01
pages: 15
extension: .pdf
mime: application/pdf
words: 5454
sentence: 416
flesch: 80
cache: cache/em-363.pdf
txt: txt/em-363.txt
summary:
  Key words: Invariant subspace, hyperinvariant subspace, compact operator, t-orthogonal basis, quasi null vector, triangular operator, shift operator. The spectral theory on compact operators in classical 210 m. babahmed, a. el asri analysis can be successfully extended to the set of compact operators in non- Archimedean analysis, see [8, 17].


id: em-1795
author: Elhamdadi, M.; Lahrani, H.; Gona, T.
title: Topologies, posets and finite quandles
date: 2022-11-23
pages: 15
extension: .pdf
mime: application/pdf
words: 5086
sentence: 326
flesch: 78
cache: cache/em-1795.pdf
txt: txt/em-1795.txt
summary:
  This article arose from a desire to better understand the analogy of the work given in [12] in the context of finite topological quandles. Topological quandles were intro- duced in [11] where it was shown that the set of homomorphisms (called also the set of colorings) from the fundamental quandle of the knot to a topological quandle is an invariant of the knot.


id: em-1109
author: Kim, Sung Guen
title: Smooth 2-homogeneous polynomials on the plane with a hexagonal norm
date: 2022-12-01
pages: 17
extension: .pdf
mime: application/pdf
words: 6384
sentence: 552
flesch: 100
cache: cache/em-1109.pdf
txt: txt/em-1109.txt
summary:
  Notice that Q = ax2 + a 4 y2 + (2 − a)xy. Since 1 ≥ ∣∣∣∣14a + b ∣∣∣∣ + 12c = − ( 1 4 a + b ) + 1 2 c, which implies that b ≥ a+4 √ 1−a 4 − 1, so b = a+4 √ 1−a 4 − 1 and Q = ax2 + ( a + 4 √ 1 −a 4 − 1 ) y2


id: em-2260
author: Cavicchioli, A. ; Spaggiari, F.
title: The character variety of one relator groups
date: 2023-06-01
pages: 19
extension: .pdf
mime: application/pdf
words: 6506
sentence: 401
flesch: 76
cache: cache/em-2260.pdf
txt: txt/em-2260.txt
summary:
  − 1)p2 − (4β3 − 3β)γp3]g2n(δ) , q̄ ′ 1 = −(4α 2 − 1)g2n(δ) , q̄ ′ 2 = (4β 2 − 1)f2n(δ) − 2XZ3 − 2X3Z −X2Y


id: em-127
author: Garayev, M.; Bouzeffour, F.; Gürdal , M.; Yangöz , C.M.
title: Refinements of Kantorovich type, Schwarz and Berezin number inequalities
date: 2020-06-01
pages: 20
extension: .pdf
mime: application/pdf
words: 6041
sentence: 404
flesch: 77
cache: cache/em-127.pdf
txt: txt/em-127.txt
summary:
  [15] T. Furuta, J. Mićić Hot, J.E. Pečarić, Y. Seo, Mond-Pecaric method in operator inequalities, in “ Inequalities for bounded selfadjoint op- erators on a Hilbert space ”, Monographs in Inequalities, Vol. 1, Element, Zagreb, 2005. Also, by using a refinement of the classical Schwarz inequality, we prove Berezin number inequalities for powers of f(A), where A is self-adjoint operator on the Hardy space H2(D) and f is a positive continuous function.


id: em-2238
author: Dhara, B. ; Ghosh, S.; Sandhu, G.S.
title: On Lie ideals satisfying certain differential identities in prime rings
date: 2023-06-01
pages: 18
extension: .pdf
mime: application/pdf
words: 6537
sentence: 482
flesch: 91
cache: cache/em-2238.pdf
txt: txt/em-2238.txt
summary:
  [w, d(v)]ud(v) = 0 (4) for all u, w ∈ L and v ∈ V . ∈ L and so 4u[v, F (v)]w ∈ L for all u, v, w ∈ L. Therefore, replacing u by 4u[v, F (v)]w, where w ∈ L, in (29) and then since characteristic of R is not 2, we obtain d(v)u[v, F (v)]w[v, F (v)]


id: em-2241
author: MolaeiDerakhtenjani, M.; RabieiMotlagh, O. ; MohammadiNejad, H.M.
title: Estimating the number of limit cycles for one step perturbed homogeneous degenerate centers
date: 2023-06-01
pages: 20
extension: .pdf
mime: application/pdf
words: 6331
sentence: 399
flesch: 82
cache: cache/em-2241.pdf
txt: txt/em-2241.txt
summary:
  By substituting the suitable conditions, one of the terms of (∂jr/∂�j)(2π,r0, 0) for k = j − 1 is (−1)j−1 j! r j−1 0 ∫ 2π 0 C Bj−1 Aj+1χj(ψ) dψ. Let j be an even integer number and assume (2.3) for k = j − 2, i.e., I(j,j−2)(θ) = j χ(θ) (


id: em-1781
author: Dragomir, S.S.
date: 2022-12-01
pages: 22
extension: .pdf
mime: application/pdf
words: 6170
sentence: 378
flesch: 90
summary: A + tB + λ)−1 ≤ ((1 − t) m1 + tm2 + λ)−1 , and ∥∥∥((1 − t) − t)
cache: cache/em-1781.pdf
txt: txt/em-1781.txt
title:
  Second derivative Lipschitz type inequalities for an integral transform of positive operators in Hilbert spaces


id: em-1078
author: Lukoto, Tshikhudo; Raubenheimer, Heinrich
title: Perturbation Ideals and Fredholm Theory in Banach Algebras
date: 2022-06-01
pages: 20
extension: .pdf
mime: application/pdf
words: 7229
sentence: 520
flesch: 83
cache: cache/em-1078.pdf
txt: txt/em-1078.txt
summary:
  The author(s) - Released under a Creative Commons Attribution License (CC BY-NC 3.0) https://doi.org/10.17398/2605-5686.37.1.91 mailto:tshikhudo.lukoto@ul.ac.za mailto:heinrichr@uj.ac.za https://publicaciones.unex.es/index.php/EM https://creativecommons.org/licenses/by-nc/3.0/ 92 t. lukoto, h. raubenheimer is the usual spectrum of x ∈ A and the corresponding spectral radius of x in A is denoted by r(x) = rA(x) = sup{|λ| : λ ∈ σ(x)}. [17] M.R.F. Smyth, Riesz theory in Banach algebras, Math. Z. 145 (1975), 145 – 155.


id: em-1161
author: Jayaraman, S. ; Prajapaty, Y.K.; Sridharan, S.
title: Dynamics of products of nonnegative matrices
date: 2022-12-01
pages: 20
extension: .pdf
mime: application/pdf
words: 7206
sentence: 449
flesch: 76
cache: cache/em-1161.pdf
txt: txt/em-1161.txt
summary:
  dynamics of matrix products 225 We are interested in a generalization of Theorem 1.1, when the matrix A in the above theorem is replaced by a product of the matrices Ar’s, possi- bly an infinite one, drawn from the finite collection of nonnegative matrices,{ A1, . . . If the matrices and the polynomials are over the real field, then all calcu- lations may be carried out over R, provided all the matrices have eigenvalues in R. It turns out that a sufficient condition that guarantees any of the above three statements is when the collection of matrices is quasi-commutative (see dynamics of matrix products 231 Drazin et al.


id: em-380
author: Seddik, Ameur
date: 2017-12-01
pages: 3
extension: .pdf
mime: application/pdf
words: 1039
sentence: 93
flesch: 88
cache: cache/em-380.pdf
txt: txt/em-380.txt
title:
  Corrigendum to “Moore-Penrose Inverse and Operator Inequalities” Extracta Mathematicae 30 (2015), 29 – 39

summary:
  For S ∈ B(H) with closed range, S+ denotes the Moore-Penrose inverse of S. 209 210 a. seddik Proof of Lemma 1. Let S ∈ B(H).


id: em-1801
author: Chtioui, T. ; Mabrouk, S.; Makhlouf, A.
title: Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras
date: 2022-12-01
pages: 24
extension: .pdf
mime: application/pdf
words: 7572
sentence: 539
flesch: 85
cache: cache/em-1801.pdf
txt: txt/em-1801.txt
summary:
  A pre-Jordan algebra is a vector space A with a bilinear multiplication · such that the prod- uct x◦y = x ·y + y ·x endows A with the structure of a Jordan algebra, and the left multiplication operator L(x) : y 7→ x·y defines a representation of this Jordan algebra on A. In other words, the product x ·y satisfies the following identities: (x◦y) · (z ·u) + = 0 , (1.3) or equivalently, ((x◦y) ◦α(u)) ◦α2(z)


id: em-390
author: Maouche, Abdelaziz
title: Spectral Rank of Maximal Finite-Rank Elements in Banach Jordan Algebras
date: 2016-12-01
pages: 3
extension: .pdf
mime: application/pdf
words: 739
sentence: 54
flesch: 80
cache: cache/em-390.pdf
txt: txt/em-390.txt
summary:
  xi ∈ A, n ≥ 1} is the connected component of 1 of the set Ω of invertible elements of A. With the help of this Theorem 1 we are able now to eliminate the deep and difficult analytic arguments used by Aupetit to prove the next theorem. Let y ∈ Ω1, then by O. Loos’s Theorem 1: y = Uexp(x1) · · · Uexp(xn)1 so y + ta = Uexp(x1) · · · Uexp(xn)


id: em-364
author: Cima, A.; Gasull, A.; Mañosas, F.
title: Around some extensions of Casas-Alvero conjecture for non-polynomial functions
date: 2020-12-01
pages: 8
extension: .pdf
mime: application/pdf
words: 2755
sentence: 174
flesch: 81
cache: cache/em-364.pdf
txt: txt/em-364.txt
summary:
  By replacing the above expression of r in F we obtain that F(c) = G(c) 96(5c2 − 10c + 4) , where G(c) = − c2 ( 12 c4 − 369 c3 + 1437 c2 − 1708 c + 532 ) = − 8 ( 5 c2 − 10 c + 4 )( c2 − 2 c


id: em-378
author: Maouche, Abdelaziz
title: A Symmetrical Property of the Spectral Trace in Banach Algebras
date: 2017-12-01
pages: 10
extension: .pdf
mime: application/pdf
words: 3227
sentence: 188
flesch: 81
cache: cache/em-378.pdf
txt: txt/em-378.txt
summary:
  [λ(λ − b)−1 − 1](λ − a)−1 = (λ − a)−1 + b(λ − b)−1(λ − a)−1 = (λ − a)−1 + (λ − b)−1(λ − a)−1b = (λ − a)−1 + b λ (λ − b)−1. − (a + b) = 1 λ (λ − a)(λ − b) = 1 λ (λ − b)(λ


id: em-123
author: Mabrouk, S.; Makhlouf, A.; Massoud, S.
title: Generalized representations of 3-Hom-Lie algebras
date: 2020-06-01
pages: 28
extension: .pdf
mime: application/pdf
words: 7686
sentence: 769
flesch: 88
cache: cache/em-123.pdf
txt: txt/em-123.txt
summary:
  [25] Y. Sheng, Representations of hom-Lie algebras, Algebr. In [2, 3], the structure and cohomology of 3-Lie algebras induced by Lie algebras has been investigated.


id: em-1077
author: Kouotchop Wamba, P.M.; Wankap Nono, G.F. ; Ntyam, A.
title: Prolongations of G-structures related to Weil bundles and some applications
date: 2022-06-01
pages: 28
extension: .pdf
mime: application/pdf
words: 9222
sentence: 605
flesch: 87
cache: cache/em-1077.pdf
txt: txt/em-1077.txt
summary:
  The G-structure P is called integrable (or flat) if for each point x ∈ M, there is a coordinate neighborhood U with local coordinate system ( x1, . . . Let X : M → TM be a vector field on a manifold M, then we put X(α) = κA,M ◦χ (α) TM ◦T A(X) .


id: em-1158
author: Pouye, M. ; Kpamegan, B.
title: Extensions, crossed modules and pseudo quadratic Lie type superalgebras
date: 2022-12-01
pages: 32
extension: .pdf
mime: application/pdf
words: 10456
sentence: 804
flesch: 83
cache: cache/em-1158.pdf
txt: txt/em-1158.txt
summary:
  In Section 2, we study homology and cohomol- lie type superalgebras 155 ogy of Lie type superalgebras. � EXTRACTA MATHEMATICAE Volumen 33, Número 2, 2018 instituto de investigación de matemáticas de la universidad de extremadura EXTRACTA MATHEMATICAE Vol. 37, Num. 2 (2022), 153 – 184 doi:10.17398/2605-5686.37.2.153 Available online March 25, 2022 Extensions, crossed modules and pseudo quadratic Lie type superalgebras M. Pouye 1, B. Kpamegan 2 1 Institut de Mathématiques et de Sciences Physiques (IMSP), Bénin 2 Département de Mathématiques, FAST, UAC, Bénin Received October 13, 2021 Presented by Consuelo Mart́ınez Accepted February 17, 2022 Abstract: Extensions and crossed modules of Lie type superalgebras are introduced and studied.


id: em-396
author: Praveena, M.M.; Bagewadi, C.S.
title: A Study on Ricci Solitons in Generalized Complex Space Form
date: 2016-12-01
pages: 7
extension: .pdf
mime: application/pdf
words: 2056
sentence: 156
flesch: 77
cache: cache/em-396.pdf
txt: txt/em-396.txt
summary:
  Key words: Kähler manifolds, generalized complex space form, parallel second order covari- ant tensor field, Einstein space, Ricci soliton. Moti- vated by these ideas, in this paper, we made an attempt to study Ricci solitons of generalized complex space form by using Eisenhart problem.


id: em-122
author: Attan, S.; Hounnon, H.; Kpamegan, B.
title: Hom-Jordan and Hom-alternative bimodules
date: 2020-06-01
pages: 30
extension: .pdf
mime: application/pdf
words: 10551
sentence: 654
flesch: 85
cache: cache/em-122.pdf
txt: txt/em-122.txt
summary:
  Then the module Hom-associator of V is a trilinear map asA,V defined as: asA,V ◦ IdV⊗A⊗A = ρr ◦ (ρr ⊗αA) −ρl ◦ (αV ⊗µ) , asA,V ◦ IdA⊗V⊗A = ρr ◦ (ρl ⊗αA) −ρl ◦ (αA ⊗ρr) , asA,V ◦ IdA⊗A⊗V = ρl ◦ (µ⊗αV ) −ρl ◦ (αA ⊗ρl) . (i) A Hom-module (V,αV ) is called an A-bimodule if it comes equipped with a left and a right structure maps on V that is morphisms ρl : A⊗V → V , a ⊗ v 7→ a · v and ρr : V ⊗ A → V , v ⊗ a 7→ v · a of Hom-modules respectively.


id: em-394
author: Narmanov, A.Ya.; Sharipov, A.S.
title: Geometry of Foliated Manifolds
date: 2016-12-01
pages: 10
extension: .pdf
mime: application/pdf
words: 3376
sentence: 263
flesch: 74
cache: cache/em-394.pdf
txt: txt/em-394.txt
summary:
  Key words: Foliation, foliated manifold, Riemannian submersion, Riemannian foliation, Gaussian curvature. For the first time a Riemannian foliation was entered in work [16] and was shown that Riemannian submersions generate Riemannian foliations.


id: em-382
author: Razavi Nazari, Rafieh; Ghalandarzadeh, Shaban
title: Content Semimodules
date: 2017-12-01
pages: 16
extension: .pdf
mime: application/pdf
words: 6854
sentence: 578
flesch: 85
cache: cache/em-382.pdf
txt: txt/em-382.txt
summary:
  An S-balanced map g : M ×N → G, where G is an Abelian monoid, is a bilinear map such that g(ms, n) = g(m, sn) for all m ∈ M, s ∈ S and n ∈ N. A commutative monoid M ⊗S N together with an S-balanced map τ : M is a normal subsemimodule, and write N ≤nS M, if the embedding N ↪→ M is a normal monomorphism, that is, N = ker(f) for some S-homomorphism f : M → L and some S-semimodule L. Note that N ≤nS M if and only if N = N, the normal closure of N, defined by N := {m ∈ M | m


id: em-365
author: Samti, Amal
title: Multifractal formalism of an inhomogeneous multinomial measure with various parameters
date: 2020-12-01
pages: 24
extension: .pdf
mime: application/pdf
words: 6103
sentence: 430
flesch: 85
cache: cache/em-365.pdf
txt: txt/em-365.txt
summary:
  Besides, they constructed inhomogeneous Bernoulli products, such measures whose both multifractal dimension functions bµ and Bµ agree at one or two points only. D 8 (1983), 435 – 444. https://doi.org/10.1007/s12220-019-00302-3 252 a. samti [11] B.B. Mandelbrot, Multifractal measures, especially for geophysicist, An- nual Reviews of Materials Sciences. 19 (1989), 514 – 516.


id: em-399
author: Salhi, A. ; Zerouali, H.
title: On a ρn -Dilation of Operator in Hilbert Spaces
date: 2016-06-01
pages: 13
extension: .pdf
mime: application/pdf
words: 3351
sentence: 179
flesch: 81
cache: cache/em-399.pdf
txt: txt/em-399.txt
summary:
  This latter fact can be seen as a trivial extension of the case ρn = ρ0 for every n. (3) If T ∈ Cρ so is T n.


id: em-388
author: Kashuri, Artion; Liko, Rozana
title: Ostrowski Type Fractional Integral Inequalities for Generalized (g, s, m, φ)-Preinvex Functions
date: 2017-06-01
pages: 19
extension: .pdf
mime: application/pdf
words: 4915
sentence: 358
flesch: 87
cache: cache/em-388.pdf
txt: txt/em-388.txt
summary:
  =   y − mx, if x ≥ 0, y ≥ 0; y − mx, if x ≤ 0, y ≤ 0; mx − y, if x ≥ 0, y ≤ 0; mx − y, if x ≤ 0, y ≥ 0. The concept of preinvexity is more general than convexity since every convex function is preinvex with respect to the mapping η(y, x) = y − x, but the converse is not true.


id: em-398
author: Basu, Sudeshna; Rao, T. S. S. R. K.
title: On Small Combination of Slices in Banach Spaces
date: 2016-06-01
pages: 10
extension: .pdf
mime: application/pdf
words: 3859
sentence: 250
flesch: 87
cache: cache/em-398.pdf
txt: txt/em-398.txt
summary:
  We recall that a closed subspace Y of a Banach space X is called a U-subspace if for y∗ ∈ Y ∗ there exists a unique norm preserving extension of y∗ in X∗. We continue to denote the unique extension also by y∗. See the discussion on [6, page 44] and the references in that monograph for several examples of U-subspaces from among classical function spaces and spaces of operators. We study certain stability results for the w∗-BSCSP leading to a discussion on BSCSP in the context of ideals of Banach spaces.


id: em-400
author: Salaryan, Aliakbar; Vaezi, Hamid
title: Adjoints of Generalized Composition Operators with Linear Fractional Symbol
date: 2016-06-01
pages: 12
extension: .pdf
mime: application/pdf
words: 3531
sentence: 194
flesch: 75
cache: cache/em-400.pdf
txt: txt/em-400.txt
summary:
  It is clear that the antiderivative of f − f (0) at z is F (z) − f (0)z, hence by 34 a. salaryan, h. vaezi (3.6), (C(n) ∗ φ (f − f (0)))(z) = zn (−b̄z + d̄)n+2 ( (d̄z + c̄)n+2 z2 (F (z) − f (0)z) )(n+1) (σ(z)). Key words: Generalized composition operator, Adjoint, Weighted Hardy space.


id: em-401
author: Aiena, Pietro; González, Manuel
title: Local Spectral Theory for Operators R and S Satisfying RSR = R2
date: 2016-06-01
pages: 10
extension: .pdf
mime: application/pdf
words: 3815
sentence: 297
flesch: 88
cache: cache/em-401.pdf
txt: txt/em-401.txt
summary:
  Operator equation RSR = R2 Operators S, R ∈ L(X) Let S, R ∈ L(X) satisfy RSR = R2, and let F be a closed subset of C with 0


id: em-405
author: Fragoulopoulou, M.; Nestoridis, V.
title: A Note on Rational Approximation with Respect to Metrizable Compactifications of the Plane
date: 2016-06-01
pages: 9
extension: .pdf
mime: application/pdf
words: 3206
sentence: 187
flesch: 76
cache: cache/em-405.pdf
txt: txt/em-405.txt
summary:
  It is well known that the class of uniform limits of polynomials in D = {z ∈ C : |z| ≤ 1} coincides with the disc algebra A(D). D −→ {z ∈ C :


id: em-397
author: Boutahir, Khalid; Rami, Youssef
title: On LS-Category of a Family of Rational Elliptic Spaces II
date: 2016-12-01
pages: 16
extension: .pdf
mime: application/pdf
words: 4779
sentence: 386
flesch: 90
cache: cache/em-397.pdf
txt: txt/em-397.txt
summary:
  = (ωk−1 + · · · + ωt) − (d−δ)(x), so, ω − dx ∈ Λ≥s+k−1V , which contradicts the fact s = e0(ΛV,d). Then (see [9]) if dim H∗(ΛV,d) < ∞, the element ω ∈ ΛV , ω = ∑ 1≤j1<···<jn≤m (−1)j1+···+jnPj1...jny1 . . .


id: em-387
author: Jaleel, Ahsan; Percy, Andrew
title: Resolutions of Cohomology Algebras and other Struggles with Integer Coefficients
date: 2017-06-01
pages: 21
extension: .pdf
mime: application/pdf
words: 7438
sentence: 364
flesch: 63
cache: cache/em-387.pdf
txt: txt/em-387.txt
summary:
  Key words: primary cohomology operations, integer coefficients, free resolution, derived functors. Primary operations and universal arrows In this section we give a brief overview of primary cohomology operations and explain where the integral theory differs from cohomology over Fp. Definition 3.1.


id: em-393
author: Przeslawski, Krzysztof; Yost, David
title: More Indecomposable Polyhedra
date: 2016-12-01
pages: 20
extension: .pdf
mime: application/pdf
words: 7698
sentence: 465
flesch: 70
cache: cache/em-393.pdf
txt: txt/em-393.txt
summary:
  + 1 and that all its neighbors are simple vertices. Polyhedra with 15 edges If a given polyhedron has V vertices, E edges and F faces, then Euler’s relation E = V +F−2 suggests that the number of edges is a reasonable mea- sure of its complexity.


id: em-360
author: Agniel, Vidal
title: Unitary skew-dilations of Hilbert space operators
date: 2020-12-01
pages: 48
extension: .pdf
mime: application/pdf
words: 15970
sentence: 1044
flesch: 87
cache: cache/em-360.pdf
txt: txt/em-360.txt
summary:
  Let T ∈ L(H) be such that ≥ 0 for all z ∈ D. Thus, for any sequence (τn) such that ρk = τk, for all 1 ≤ k < m, we have T ∈ C(τn) if and only if T ∈ C(ρn). Proof.


id: em-385
author: Dragomir, S.S.
title: Trace Inequalities of Lipschitz Type for Power Series of Operators on Hilbert Spaces
date: 2017-06-01
pages: 30
extension: .pdf
mime: application/pdf
words: 8167
sentence: 607
flesch: 94
cache: cache/em-385.pdf
txt: txt/em-385.txt
summary:
  − tr[ln(1H − T)−1]∣∣ (3.19) ≤ ∥V − T∥ ∫ 1 0 ∥∥(1H − (1 − t)T − tV ) [(1 − t)T + tV ]n = ε n−1∑ j=0 [(1 − t − ε)T + (t + ε)V ]n−1−j (V − T)


id: em-381
author: Biggs, Rory; Remsing, Claudiu C.
title: Invariant Control Systems on Lie Groups: A Short Survey
date: 2017-12-01
pages: 26
extension: .pdf
mime: application/pdf
words: 9634
sentence: 699
flesch: 75
cache: cache/em-381.pdf
txt: txt/em-381.txt
summary:
  213 214 r. biggs, c. c. remsing A significant subclass of control systems rich in symmetry are those evolv- ing on Lie groups and invariant under left translations; for such a system the left translation of any trajectory is a trajectory. Abstract: This is a short survey of our recent research on invariant control systems (and their associated optimal control problems).


id: em-402
author: Dragomir, S.S.
date: 2016-06-01
pages: 21
extension: .pdf
mime: application/pdf
words: 5664
sentence: 325
flesch: 88
cache: cache/em-402.pdf
txt: txt/em-402.txt
title:
  Quasi Grüss Type Inequalities for Complex Functions Defined on Unit Circle with Applications for Unitary Operators in Hilbert Spaces

summary:
  + sin2 ( b − t 4 )] du(t) ≤ L 2 (b − a)[u(b) − u(a)]. (2.25) Proof. For r = 1 we have B(a, b; t) := ∫ t a sin ( t − s 2 ) ds + ∫ b t sin ( s − t 2 ) ds = 2 − 2 cos ( t − a 2 ) − 2 cos ( b − t 2 )


id: em-384
author: Ghenciu, Ioana
title: A Note on Some Isomorphic Properties in Projective Tensor Products
date: 2017-06-01
pages: 24
extension: .pdf
mime: application/pdf
words: 9634
sentence: 754
flesch: 83
cache: cache/em-384.pdf
txt: txt/em-384.txt
summary:
  We begin by noting that there are examples of Banach spaces X and Y such that X ⊗π Y has the (SR) and L-limited properties. Let H be a Right subset of (X ⊗π Y )∗ ≃ L(X, Y ∗) = K(X, Y ∗).


id: em-386
author: Araújo, Jogli G.; de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio
date: 2017-06-01
pages: 27
extension: .pdf
mime: application/pdf
words: 8360
sentence: 390
flesch: 81
summary: − n2|∇H|2 − n ∑ i,j hn+1ij Hij + n − 1 2 a∆(nH). Denote M0 = {x ∈ M; |∇H| > 0} and T = S − n2H2.
cache: cache/em-386.pdf
txt: txt/em-386.txt
title:
  Characterizations of Complete Linear Weingarten Spacelike Submanifolds in a Locally Symmetric Semi-Riemannian Manifold


id: em-392
author: Chafai, Ezzeddine; Mnif, Maher
title: Ascent and Essential Ascent Spectrum of Linear Relations
date: 2016-12-01
pages: 23
extension: .pdf
mime: application/pdf
words: 8642
sentence: 660
flesch: 88
cache: cache/em-392.pdf
txt: txt/em-392.txt
summary:
  We say that T ∈ LR(X) is closed if its graph G(T) is a closed subspace of X × T − λ stands for T − λI, where I is the identity operator on X. Let S, T ∈ LR(X) such that R(T) ∩ D(S)


id: em-379
author: Mizuguchi, Hiroyasu
title: The Differences Between Birkhoff and Isosceles Orthogonalities in Radon Planes
date: 2017-12-01
pages: 36
extension: .pdf
mime: application/pdf
words: 10566
sentence: 874
flesch: 98
cache: cache/em-379.pdf
txt: txt/em-379.txt
summary:
  For c = α − k 1 + α − k − αl and d = 1 − kl 1 + α − k − αl , the equality d(x + αy) = (1 − c)(x + ky) + c(y + lx) holds, and hence one has ∥x + αy∥ ≤ + k(α − k − αl + kl) 1 − kl ∥x + ky∥ = (α + k)(1 − kl)


id: em-407
author: Soltan, V.
title: Cone asymptotes of convex sets
date: 2021-06-20
pages: 18
extension: .pdf
mime: application/pdf
words: 7037
sentence: 424
flesch: 87
cache: cache/em-407.pdf
txt: txt/em-407.txt
summary:
  Let K ⊂ Rn be a unbounded closed convex set, and u ∈ K, v ∈ Rn with apex o satisfying the inclusion u + C ⊂ K. (P3) One has K + lin K = K. (P4)


id: em-403
author: de Lima, Henrique F.; de Sousa, A.F.; dos Santos, Fábio R.; Velásquez, Marco Antonio
title: Sharp Upper Estimates for the First Eigenvalue of a Jacobi Type Operator
date: 2016-06-01
pages: 20
extension: .pdf
mime: application/pdf
words: 6388
sentence: 328
flesch: 80
cache: cache/em-403.pdf
txt: txt/em-403.txt
summary:
  A standard fact concerning the Newton transformations is that, 1 ≤ r ≤ n, (2.1) tr(Pr) = brHr and tr(APr) = brHr+1 , where br = (n − r) ( n r ) = tr(Pr Hessf) , 0 ≤ r ≤ n .


id: em-53
author: Meftah, Badri; Merad, M. ; Souahi, A.
title: Fractional Ostrowski type inequalities for functions whose derivatives are s-preinvex
date: 2019-12-01
pages: 17
extension: .pdf
mime: application/pdf
words: 4518
sentence: 272
flesch: 86
cache: cache/em-53.pdf
txt: txt/em-53.txt
summary:
  |f′(a)|+( x−ac ) s+1 |f′(b)| s+1 ) + ( (1−x−ac ) s+1 |f′(a)|+ ( 1−( x−ac ) s+1 ) |f′(b)| s+1 ) + ∣∣f ′(a)∣∣ (∫ 1 2 0 ((1 − t)α+s − tα(1 − t)s)dt + ∫ 1 1 2 ( tα(1 − t)s − (1 − t)α+s ) dt ) + ∣∣f ′ (b)∣∣ (∫ 1 2 0 (ts (1 − t)α − tα+s)dt + ∫ 1 1 2 (tα+s − ts(1 − t)α)dt )] = c 2 (∣∣f ′(a)∣∣ + ∣∣f ′ (b)∣∣) × ( 1 s+1 + ∫ 1 2 0 ((1 − t)α+s − tα(1 − t)s) [13] B. Meftah, Fractional Ostrowski type inequalities for functions whose first derivatives are ϕ-preinvex, J. Adv.


id: em-54
author: Laraiedh, Ismail
title: aff(1|1)-trivial deformations of aff(2|1)-modules of weighted densities on the superspace
date: 2019-12-01
pages: 15
extension: .pdf
mime: application/pdf
words: 4523
sentence: 325
flesch: 71
cache: cache/em-54.pdf
txt: txt/em-54.txt
summary:
  Infinitesimal deformations and the first cohomology. When aff(1|1)-trivial deformations of aff(2|1)-modules 275 studying h-trivial deformations of the g-action ρ0, one usually starts with infinitesimal deformations ρ


id: em-377
author: Garbouj, Zied; Skhiri, Haı̈kel
title: Essential g-Ascent and g-Descent of a Closed Linear Relation in Hilbert Spaces
date: 2017-12-01
pages: 37
extension: .pdf
mime: application/pdf
words: 12919
sentence: 1165
flesch: 93
cache: cache/em-377.pdf
txt: txt/em-377.txt
summary:
  The linear relation T ∈ CR(H) is called regular if Im(T) is closed and ker(T) ⊆ Im(T n), for every n ∈ N (see [1]). Let T ∈ LR(H).


id: em-395
author: Das, Apurba
title: On Generalized Lie Bialgebroids and Jacobi Groupoids
date: 2016-12-01
pages: 27
extension: .pdf
mime: application/pdf
words: 9614
sentence: 546
flesch: 78
cache: cache/em-395.pdf
txt: txt/em-395.txt
summary:
  It is known that, Lie algebroid structures on a vector bundle A are in one- to-one correspondence with linear Poisson structures on the dual bundle A∗. This correspondence has been extended to the Jacobi set up by introducing the notion of linear Jacobi structure on a vector bundle [5]. They showed that a pair of Lie algebroids (A,A∗) in duality over M is a Lie bialgebroid if and only if the bundle map Λ ♯ A ◦ RA : T ∗A∗ → T∗A → TA is a Lie algebroid morphism from the cotangent Lie algebroid T∗A∗ → A∗ of the linear Poisson manifold on generalized lie bialgebroids and jacobi groupoids 201 A∗, to the tangent Lie algebroid TA → TM of A, where RA : T∗A∗ → T∗A is the canonical isomorphism defined in [11] and ΛA being the induced linear Poisson structure on A.


id: em-639
author: Salih, H.M. Mohammed
title: Hurwitz components of groups with socle PSL(3, q)
date: 2021-06-20
pages: 12
extension: .pdf
mime: application/pdf
words: 4031
sentence: 220
flesch: 76
cache: cache/em-639.pdf
txt: txt/em-639.txt
summary:
  [2] M. Aschbacher, R. Guralnick, K. Magaard, Rank 3 permutation characters and primitive groups of low genus, preprint. 60 h.m. mohammed salih [3] M. Aschbacher, L. Scott, Maximal subgroups of finite groups, J. Algebra 92 (1) (1985), 44 – 80. In [9], Guralnick and Thompson have conjectured that the set E∗(g) of possible isomorphism classes of composition factors of simple groups which ISSN: 0213-8743 (print), 2605-5686 (online)


id: em-63
author: Yadav, Sunil Kumar
title: Ricci solitons on para-Kähler manifolds
date: 2019-12-01
pages: 14
extension: .pdf
mime: application/pdf
words: 4412
sentence: 313
flesch: 83
cache: cache/em-63.pdf
txt: txt/em-63.txt
summary:
  (4.9) Taking Y = Z = ei in (4.9), where {ei} is an orthonormal basis of the tangent space at each point of the manifold and taking summation over i (1 ≤ i ≤ n), we have (LV g)(ei,ei) r = Trg S. Let Q be the Ricci operator given by S(X,Y ) = g(QX,Y ), for these tensor fields, the following identities are satisfied R(PX,PY ) = −R(X,Y ), R(PX,Y ) = −R(X,PY ), S(PX,Y )


id: em-404
author: Tanaka, Yuuji
title: On the Moduli Space of Donaldson-Thomas Instantons
date: 2016-06-01
pages: 19
extension: .pdf
mime: application/pdf
words: 7338
sentence: 442
flesch: 77
cache: cache/em-404.pdf
txt: txt/em-404.txt
summary:
  −→ 0 , (3.1) where D(A,u)(s) = (dAs, [ũ,s]) , ũ = u + ū , D+ (A,u) (α,υ) = d+Aα + Λ 2([u,ῡ] + We call these equations (2.3), (2.4) the Donaldson-Thomas equations, and a solution (A,u) to these equations a Donaldson-Thomas instanton (D-T instanton for short).


id: em-643
author: Drewnowski, L.
title: Rosenthal L∞-theorem revisited
date: 2021-12-01
pages: 9
extension: .pdf
mime: application/pdf
words: 3916
sentence: 269
flesch: 83
cache: cache/em-643.pdf
txt: txt/em-643.txt
summary:
  So take any γ ∈ Γ and x ∈ E with λ = ‖x‖ > 1 2 . For every set ∆ ⊂ Γ with |∆| = m there is ∆′ ⊂ ∆ with |∆′| = m and such that ∀(α,s) ∈ ∆′ ×Bc: one can find x ∈ Z(∆ r ∆′) with the property: T(x + seα) ∈ W .


id: em-66
author: Dowerk, Philip A. ; Le Maı̂tre , François
title: Bounded normal generation is not equivalent to topological bounded normal generation
date: 2019-06-01
pages: 14
extension: .pdf
mime: application/pdf
words: 4768
sentence: 309
flesch: 72
cache: cache/em-66.pdf
txt: txt/em-66.txt
summary:
  We then have the following reconstruction theorem, whose proof is inspired from a similar result of Bezuglyi and Medynets for topological full groups [1, Lemma 5.12]. The groups that serve our purposes are called derived L1 full groups, in- troduced by the second named author in [10] as a measurable analogue the derived groups of small topological full groups.


id: em-67
author: Macedo Ferreira, B.L.
title: Additivity of elementary maps on gamma rings
date: 2019-06-01
pages: 16
extension: .pdf
mime: application/pdf
words: 4137
sentence: 337
flesch: 93
cache: cache/em-67.pdf
txt: txt/em-67.txt
summary:
  = M∗M(x)φ∗φ(α)M−1(ui)φ ∗φ(β)M∗M(y) for all α,β ∈ Γ and x,y ∈ M, it follows that M∗M(x)φ∗φ(α)M−1(u1)φ ∗φ(β)M∗M(y) = M∗M(x)φ∗φ(α)M−1(u2)φ ∗φ(β)M∗M(y). + M(bαxβy) for α,β ∈ Γ and x,y ∈ M; (ii) M(xαyβs)


id: em-633
author: Ben Ali, A. ; Boudhief, M.; Moalla, N.
title: Stability of some essential B-spectra of pencil operators and application
date: 2021-06-20
pages: 18
extension: .pdf
mime: application/pdf
words: 6090
sentence: 397
flesch: 81
cache: cache/em-633.pdf
txt: txt/em-633.txt
summary:
  66 a. ben ali, m. boudhief, n. moalla For T ∈ C(X) and M ∈ L(X), the upper semi B-Fredholm, the lower semi B-Fredholm and the B-Fredholm resolvent of the linear operator pencil λM −T, where λ ∈ C, are defined respectively by ρBF+ (M,T) − T , where M ∈ L(X), T ∈ C(X) and λ ∈ C. Since, the Kato decomposition theorem, remains true in the case of Banach spaces as shown in [17, p. 206], we can directly use the following proposition inspired from [10], when necessary, in the case of Banach spaces without proof. Proposition 2.1.


id: em-74
author: Ahmed, Driss Aiat Hadj
title: Non-additive Lie centralizer of strictly upper triangular matrices
date: 2019-06-01
pages: 8
extension: .pdf
mime: application/pdf
words: 2406
sentence: 244
flesch: 89
cache: cache/em-74.pdf
txt: txt/em-74.txt
summary:
  In this note we will consider non-additive Lie centralizers on strictly upper triangular matrices over a field of zero characteristic. [9] F. Ghomanjani, M.A. Bahmani, A note on Lie centralizer maps, Palest.


id: em-79
author: Serrano-Rodríguez, Diana M.
title: A Note on a Paper of S.G. Kim
date: 2018-12-01
pages: 4
extension: .pdf
mime: application/pdf
words: 769
sentence: 40
flesch: 74
cache: cache/em-79.pdf
txt: txt/em-79.txt
summary:
  Let K be R or C. The multilinear Bohnenblust-Hille inequality asserts that, given a positive integer m, there is an optimal constant C (m : K) ≥ 1 such that   ∞∑ i1,...,im=1 ∣∣U(ei1 , . . . If the optimal constant C (m : R) is attained in a certain T : c0×· · ·×c0 → R, then the quantity of non zero monomials of T is bigger than 4m−1 − 1.


id: em-707
author: Kouotchop Wamba , P.M.; Wankap Nono, G.F.
title: Characterization of symplectic forms induced by some tangent G-structures of higher order
date: 2021-12-01
pages: 10
extension: .pdf
mime: application/pdf
words: 2716
sentence: 192
flesch: 82
cache: cache/em-707.pdf
txt: txt/em-707.txt
summary:
  Because of the integrability of P and the naturality, we may assume M = Rn and P = Abstract: Let (M,ω) be a symplectic manifold induced by an integrable G-structure P on M. In this paper, we characterize the symplectic manifolds induced by the tangent lifts of higher order r ≥ 1 of G-structure P , from M to TrM. Key words: Complete lifts of differential forms, prolongations of functions, vector fields and G- structures.


id: em-65
author: Lofti, Hela
title: The μ-topological Hausdorff dimension
date: 2019-12-01
pages: 18
extension: .pdf
mime: application/pdf
words: 5314
sentence: 403
flesch: 81
cache: cache/em-65.pdf
txt: txt/em-65.txt
summary:
  Key words: Hausdorff dimension, Topological Hausdorff dimension. [2] P. Billingsley, Hausdorff dimension in probability theory, Illinois J. Math. 4 (1960), 187 – 209.


id: em-70
author: Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel
title: Browder essential approximate pseudospectrum and defect pseudospectrum on a Banach space
date: 2019-06-01
pages: 12
extension: .pdf
mime: application/pdf
words: 3551
sentence: 296
flesch: 83
cache: cache/em-70.pdf
txt: txt/em-70.txt
summary:
  Introduction Let X be an infinite-dimensional Banach space, let L(X) be the set of all bounded linear operators acting on X, and let K(X) be its ideal of compact operators on X. Let T ∈ L(X). T ∈ Φ−(X)).


id: em-68
author: Dragomir, Sever
date: 2019-06-01
pages: 20
extension: .pdf
mime: application/pdf
words: 4916
sentence: 327
flesch: 92
cache: cache/em-68.pdf
txt: txt/em-68.txt
title:
  Upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means

summary:
  if M < 1, 0 if m ≤ 1 ≤ M, (m− 1)2 if 1 < m, and max x∈[m,M] (x− 1)2 =   (m− 1)2 if M < 1, max { (m− 1)2 , (M − 1)2 } if m ≤ 1 ≤ M, (M − 1)2 if 1 < m. Then minx∈[m,M] (x− 1) 2 max{M, 1} =   (M − 1)2 if M < 1, 0 if m ≤ 1 ≤ M, (m−1)2 M if 1 < m, = c (m,M) and maxx∈[m,M](x− A ≤ ν (1 −ν) max{M, 1} (B −A) A−1 (B −A) ≤ A∇νB −A!νB ≤ ν (1 −ν) min{m, 1} (B −A) A−1 (B −A) ≤ ν (1 −ν) C (m,M) A, (2.10) where c (m,M) :=   (M − 1)2 if M < 1, 0 if m ≤ 1 ≤ M, (m−1)2 M if 1 < m, and C (m,M) :=   (m−1)2 m if M < 1, 1 m max { (m− 1)2 , (M − 1)2 } if m ≤ 1 ≤ M, (M − 1)2 if 1 < m. In particular, 1 4 c (m,M) A ≤ 1 4 max{M, 1} (B −A)


id: em-72
author: Ghandehari, Mostafa; Martini, Horst
title: On self-circumferences in Minkowski planes
date: 2019-06-01
pages: 10
extension: .pdf
mime: application/pdf
words: 3242
sentence: 201
flesch: 79
cache: cache/em-72.pdf
txt: txt/em-72.txt
summary:
  If K1 and K2 are plane convex bodies with the origin as an interior point, then the length of the positively oriented boundary of K1 with respect to K2 is given by δ+(K1,K2) = ∫ ds(K1,θ) We will also use properties of mixed areas of planar convex bodies and their polars to dis- cuss self-circumferences of some types of (also non-polygonal) convex curves, including Radon curves (see [12]).


id: em-73
author: de Lima, Eudes L.; de Lima, Henrique F.; Lima Jr, Eraldo A. ; Medeiros, Adriano A.
title: Characterizations of minimal hypersurfaces immersed in certain warped products
date: 2019-06-01
pages: 12
extension: .pdf
mime: application/pdf
words: 4043
sentence: 205
flesch: 73
cache: cache/em-73.pdf
txt: txt/em-73.txt
summary:
  Our approach is based on the application of the well known generalized maximum principle of Omori- Yau. Key words: Killing warped product, constant mean curvature hypersurfaces, minimal hypersurfaces, totally geodesic hypersurfaces. Corresponding author ISSN: 0213-8743 (print), 2605-5686 (online) https://doi.org/10.17398/2605-5686.34.1.123 mailto:eudes.lima@ufcg.edu.br mailto:henrique@mat.ufcg.edu.br mailto:eraldo@mat.ufpb.br mailto:adrianoalves@mat.ufpb.br mailto:henrique@mat.ufcg.edu.br https://www.eweb.unex.es/eweb/extracta/ https://creativecommons.org/licenses/by-nc/3.0/ 124 e.l. de lima, h.f. de lima, e.a. lima jr, a.a. medeiros domain data and the Ricci curvature of the ambient space.


id: em-634
author: Attan, S.
title: Structure and bimodules of simple Hom-alternative algebras
date: 2021-06-20
pages: 24
extension: .pdf
mime: application/pdf
words: 8170
sentence: 608
flesch: 79
cache: cache/em-634.pdf
txt: txt/em-634.txt
summary:
  The multiplica- tion table is: µ2 e0 e1 e2 e3 e4 e5 e6 e7 e0 e0 −e1 −e2 −e3 e4 e5 −e6 e7 e1 −e1 −e0 e4 e7 e2 −e6 −e5 e3 e2 −e2 −e4 −e0 e5 −e1 e3 e7 e6 e3 −e3 −e7 −e5 −e0 −e6 −e2 −e4 −e1 e4 e4 −e2 e1 e6 −e0 e7 −e3 −e5 e5 e5 e6 −e3 e2 −e7 −e0 −e1 e4 e6 −e6 e5 −e7 e4 e3 e1 −e0 −e2 e7 e7 −e3 −e6 e1 e5 −e4 e2 −e0 Nor Oα, neither Oβ, are alternative algebras. A bimodule over alternative algebras is given in [8, 16]. Definition 4.2.


id: em-76
author: Rodríguez, M. Febronio ; Duggal, B.P. ; Djordjević, S.V.
title: Moving Weyl’s Theorem from f (T ) to T
date: 2018-12-01
pages: 10
extension: .pdf
mime: application/pdf
words: 3582
sentence: 241
flesch: 82
cache: cache/em-76.pdf
txt: txt/em-76.txt
summary:
  If the range R(T) of T ∈ B(X) is closed and α(T) < ∞ (respectively, β(T) < ∞), then T is said to be an upper semi-Fredholm (respectively, a lower semi-Fredholm) operator and we denote T ∈ Φ+(X) (respectively T ∈ Φ−(X)). If T ∈ Φ−(X) ∪ Φ+(X) then T is called a semi-Fredholm operator (in notation T ∈ Φ±(X)) and for T ∈ Φ−(X) ∩ Φ+(X) we say that T is a Fredholm operator (in notation T ∈ Φ(X)).


id: em-640
author: Schrempf, K.
title: Free (rational) derivation
date: 2021-06-20
pages: 26
extension: .pdf
mime: application/pdf
words: 8133
sentence: 518
flesch: 77
cache: cache/em-640.pdf
txt: txt/em-640.txt
summary:
  Let A ∈ K〈Y〉n×n be a linear full matrix and f = (f1,f2, . . . Now let g ∈ FY be given by the ALS Ag = (ug,Ag,vg) and f = (f1,f2, . . .


id: em-81
author: Ghanam, Ryad; Lamichhane, Manoj; Thompson, Gerard
title: Minimal Matrix Representations of Decomposable Lie Algebras of Dimension Less Than or Equal to Five
date: 2018-12-01
pages: 10
extension: .pdf
mime: application/pdf
words: 2968
sentence: 265
flesch: 81
cache: cache/em-81.pdf
txt: txt/em-81.txt
summary:
  Minimal dimension matrix representations Now we shall consider each of the algebras above with regard to finding minimal dimension matrix representations. Abstract: We obtain minimal dimension matrix representations for each decomposable five- dimensional Lie algebra over R and justify in each case that they are minimal.


id: em-71
author: Dutta, S.; Jayanarayanan, C.R.; Khurana, Divya
title: Ideal operators and relative Godun sets
date: 2019-06-01
pages: 18
extension: .pdf
mime: application/pdf
words: 7010
sentence: 417
flesch: 80
cache: cache/em-71.pdf
txt: txt/em-71.txt
summary:
  Let P : Y ∗∗ −→ Y ∗∗ be a norm one projection with Range(P) = Y . To see this consider the following. Suppose Y ⊆ X and T : X → Y ∗∗ is such that T|Y = IY and ‖T‖ ≤ 1.


id: em-69
author: Stewart, Ian
title: Tetrahedral chains and a curious semigroup
date: 2019-06-01
pages: 24
extension: .pdf
mime: application/pdf
words: 7794
sentence: 479
flesch: 76
cache: cache/em-69.pdf
txt: txt/em-69.txt
summary:
  i x) = f(Rix) where the latter equality follows from R2i = I. If we define R = R0 + R1 + R2 + R3 4 then the powers R n correspond bijectively to paths of length n through the Cayley graph, weighted by the probability 4−n of each such path. All of the above proofs rule out the existence of nontrivial closed chains, embedded or not.


id: em-75
author: Dragomir, Sever
title: Some New Reverses and Refinements of Inequalities for Relative Operator Entropy
date: 2018-12-01
pages: 24
extension: .pdf
mime: application/pdf
words: 4982
sentence: 284
flesch: 89
cache: cache/em-75.pdf
txt: txt/em-75.txt
summary:
  some new reverses and refinements of inequalities 185 For t = 1/2 we get from (3.19) and (3.20) that 1 min{1, √ m} (A♯B − A)A−1(A♯B − A) ≥ we have 1 2y min{1, y} (y − 1)2 ≥ ln y − y − 1 y ≥ 1


id: em-64
author: Dragomir, Sever
title: Hypo-q-norms on cartesian products of algebras of bounded linear operators on Hilbert spaces
date: 2019-12-01
pages: 35
extension: .pdf
mime: application/pdf
words: 8188
sentence: 649
flesch: 97
cache: cache/em-64.pdf
txt: txt/em-64.txt
summary:
  Inequalities for real norms If X is a complex linear space, then the functional ‖·‖ is a real norm, if the homogeneity property in the definition of the norms is satisfied only for real numbers, namely we have ‖αx‖ = |α|‖x‖ for any α ∈ R and x ∈ X. 230 s.s. dragomir For instance if we consider the complex linear space of complex numbers C then the functionals |z|p := ( |Re (z)|p + |Im (z)|p )1/p , p ≥ 1, |z|∞ := max{|Re (z)|, |Im (z)|}, p = ∞, are real norms on C. For T ∈ B(H) we consider the Cartesian decomposition T = Re (T) Using the inequalities (2.25) and (2.26) for n = 2, T1 = Re T and T2 = Im T then we get 1 21/p ‖T‖r,p ≤ ηr,p(T) ≤‖T‖r,p (5.2) and 1 21/p ‖T‖r,p ≤ θr,p(T) ≤‖T‖r,p (5.3) for any p ≥ 1 and T ∈ B(H).


id: em-80
author: Castillo, Jesús M.F. ; Chō, Muneo; González, Manuel
title: Three-operator Problems in Banach Spaces
date: 2018-12-01
pages: 18
extension: .pdf
mime: application/pdf
words: 5657
sentence: 410
flesch: 78
cache: cache/em-80.pdf
txt: txt/em-80.txt
summary:
  Three-operator properties A class A of operators is called an operator ideal if it contains the class F of finite-rank operators, is closed under addition, and the composition of an element of A with any operator is in A. Typical examples of operator ideals are the classes L of all operators, K of compact operators and W of weakly compact operators. The notion of operator ideal was thoroughly studied by Pietsch


id: em-77
author: Kim, Sung Guen
title: Exposed Polynomials of P(2R2 h(1/2))
date: 2018-12-01
pages: 18
extension: .pdf
mime: application/pdf
words: 5474
sentence: 435
flesch: 96
cache: cache/em-77.pdf
txt: txt/em-77.txt
summary:
  Key words: The Krein-Milman Theorem, extreme polynomials, exposed polynomials, the plane with a hexagonal norm. Assume that exposed polynomials of P ( 2R2 h( 1 2 ) ) 141 δ+m0 ̸= 0.


id: em-86
author: Agbeko, Nutefe Kwami ; Szokol, Patrícia
date: 2018-06-01
pages: 10
extension: .pdf
mime: application/pdf
words: 3007
sentence: 245
flesch: 86
cache: cache/em-86.pdf
txt: txt/em-86.txt
title:
  A Generalization of the Hyers-Ulam-Aoki Type Stability of Some Banach Lattice -Valued Functional Equation

summary:
  (3.2) Taking the limit in (3.2) we have via (2.2) that∥∥T((τq|x|)∆∗X (ηq|y|))∆∗YT((τq|x|)∆∗∗X (ηq|y|))−(τpT(|x|))∆∗∗Y (ηpT(|y|))∥∥ = 0 for all τ, η ∈ [0, ∞) and all x, y ∈ X , which is equivalent to (1.2). (3.4) Taking the limit in (3.4) we have via (2.5) that∥∥∥T((τq|x|)∆∗X (ηq|y|))∆∗YT((τq|x|)∆∗∗X (ηq|y|))−(τpT(|x|))∆∗∗Y (ηpT(|y|))∥∥∥ = 0 for all τ, η ∈ [0, ∞) and all x, y ∈ X , which is equivalent to (1.2).


id: em-2302
author: De Pauw, T.; Bouafia, P.
title: Radon-Nikodýmification of arbitrary measure spaces
date: 2023-07-19
pages: 65
extension: .pdf
mime: application/pdf
words: 28247
sentence: 1820
flesch: 80
cache: cache/em-2302.pdf
txt: txt/em-2302.txt
summary:
  Indeed, if N ∈ A is such that E ∩ N ∈ N for all radon-nikodýmification of arbitrary measure spaces 33 E ∈ E , then by the Distributivity Lemma 3.4, we conclude that N ∈ N . The objects of our first category MSN are the saturated MSN (X, A , N ), by what we mean that for every N,N ′ ⊆ X, if N ⊆ N ′ and N ′ ∈ N , then N ∈ N .


id: em-78
author: Farah, Attaif ; Mnif, Maher
title: Characterization of some Classes Related to the Class of Browder Linear Relations
date: 2018-12-01
pages: 18
extension: .pdf
mime: application/pdf
words: 6995
sentence: 644
flesch: 90
cache: cache/em-78.pdf
txt: txt/em-78.txt
summary:
  For T ∈ LR(X, Y ) and S ∈ LR(Y, Z), the product ST is given by G(ST) := {(x, z) ∈ X ×Z : (x, y) ∈ G(T), (y, z) ∈ G(S) for some y ∈ Y }. Let T ∈ LR(X).


id: em-82
author: López P., Iris A.
title: Sobolev Spaces and Potential Spaces Associated to Hermite Polynomials Expansions
date: 2018-12-01
pages: 22
extension: .pdf
mime: application/pdf
words: 5796
sentence: 328
flesch: 83
cache: cache/em-82.pdf
txt: txt/em-82.txt
summary:
  − f)dt, (2.15) where cs = ∫ ∞ 0 u−s−1(e−u − 1)du, for f ∈ P and f ∈ L2(γd) (see [7]). [14, 16] and moreover ∥Tt(I − J0 − · · · − Jn−1)f∥p,γd


id: em-84
author: Bracamonte, Mireya; Medina, Jesús; Vivas, Miguel
title: On some inequalities for strongly reciprocally convex functions
date: 2018-06-01
pages: 18
extension: .pdf
mime: application/pdf
words: 5614
sentence: 394
flesch: 85
cache: cache/em-84.pdf
txt: txt/em-84.txt
summary:
  [tb + (1 − t)a]2 dt = λ1 + λ2 , λ4 := ∫ 1 0 t(1 − t)|1 − 2t| [tb + (1 − t)a]2 dt , = − 1 b(b ln ( (a + b)2 4ab ) − (a + b)2(2a − b) 2b + b2 − 3a2 ] . Proof.


id: em-88
author: Kim, Sung Guen
date: 2018-06-01
pages: 16
extension: .pdf
mime: application/pdf
words: 5481
sentence: 390
flesch: 95
cache: cache/em-88.pdf
txt: txt/em-88.txt
title:
  The geometry of L(3l2∞) and optimal constants in the Bohnenblust-Hille inequality for multilinear forms and polynomials 

summary:
  Then ∥T∥ = max { |a + c1 + c2 + d3| + |b + c3 + d1 + d2|, |a − c2 − c3 + d1| + |b + c1 − d2 − d3|, |a − b + c3 − d3| + |c1 − c2 − d1 + d2|, |a + By the continuity and trilinearity of T , ∥T∥ = max { |T((1, 1), (1, 1), (1, 1))|, |T((1, −1), (1, 1), (1, 1))| |T((1, 1), (1, −1), (1, 1))|, |T((1, 1), (1, 1), (1, −1))|, |T((1, −1), (1, −1), (1, 1))|, |T((1, −1), (1, 1), (1, −1))|, |T((1, 1), (1, −1), (1, −1))|, |T((1, −1), (1, −1), (1, −1))| } = max { |a + c1 + c2 + d3| + |b + c3 + d1 + d2|, |a − c2 − c3 + d1| + |b + c1 − d2 − d3|, |a − b + c3 − d3| + |c1 − c2 − d1 + d2|, |a +


id: em-85
author: Dutta, S.; Khurana, Divya; Sensarma, A.
title: Representing matrices, M-ideals and tensor products of L1-predual spaces
date: 2018-06-01
pages: 18
extension: .pdf
mime: application/pdf
words: 7384
sentence: 483
flesch: 85
cache: cache/em-85.pdf
txt: txt/em-85.txt
summary:
  Key words: representing matrix, generalized diagram, directed sub diagram, M-ideals, ten- sor products. In Section 3 we describe a ‘Fill in the Gaps’ algorithm for construction of representing matrix from information that X = ∪∞n=1` mn ∞ .


id: em-487
author: Anastassiou, S.; Chrysikos, I.
title: Ancient solutions of the homogeneous Ricci flow on flag manifolds
date: 2021-06-20
pages: 47
extension: .pdf
mime: application/pdf
words: 18442
sentence: 927
flesch: 76
cache: cache/em-487.pdf
txt: txt/em-487.txt
summary:
  + 5x3x 2 4x5 − 2x1x2x3x 2 5 ) , 138 s. anastassiou, i. chrysikos ẋ5 = −x1x5 ( − 7x1x22x3 − 12x 2 1x 2 2x4 (2) The dimensions of the stable/unstable manifolds corresponding to ej are given in Table 1, where e1 represents the fixed point corresponding to the unique invariant Kähler-Einstein metric on G/K. We see that (i) For any M = G/K, the fixed point e1 has always an 1-dimensional unstable manifold in M G, and a (r− 1)-dimensional stable manifold in the infinity of M G. (ii) Any other fixed point ek with 2 ≤ k ≤ N, has always a 2-dimensional unstable manifold, while its stable manifold is (r − 2)-dimensional and is contained in the infinity of M G, with the following three exceptions: • the fixed point e5 for the space M∗ :


id: em-704
author: Soltan, Valeriu
title: Support and separation properties of convex sets in finite dimension
date: 2021-12-01
pages: 38
extension: .pdf
mime: application/pdf
words: 13354
sentence: 913
flesch: 76
cache: cache/em-704.pdf
txt: txt/em-704.txt
summary:
  For a convex set K ⊂ Rn and a point z ∈ Rn, the assertions below hold. For a convex set K ⊂ Rn and a point z ∈ Rn, the assertions below hold.


id: em-83
author: Abidi, Jamel
title: Partial Differential Equations and Strictly Plurisubharmonic Functions in Several Variables
date: 2018-06-01
pages: 42
extension: .pdf
mime: application/pdf
words: 15082
sentence: 1151
flesch: 96
cache: cache/em-83.pdf
txt: txt/em-83.txt
summary:
  Observe that locally (s,t) is independent of z ∈ C2, but not globally if N ≥ 3. (a2) ⇒ (a1) Let z ∈ C2. Find a condition satisfied by g1 such that there exists g2 : C2 → C prh and satisfying u is strictly psh on C2 × C2, where u(z,w) = A1|w1 − g1(z)|2 + A2|w2 − g2(z)|2, z ∈ C2, w = (w1,w2) ∈ C2 and A1,A2 ∈ R+\{0}.


id: em-708
author: Castillo, Jesús
title: The hitchhiker guide to Categorical Banach space theory. Part II.
date: 2022-06-01
pages: 56
extension: .pdf
mime: application/pdf
words: 20196
sentence: 1205
flesch: 75
cache: cache/em-708.pdf
txt: txt/em-708.txt
summary:
  The key point is that there is a Banach functor coz(·) such that for each Banach space there is an exact sequence ♦ with the form 0 −→ coz(X) −→ ♦ −→ X −→ 0 such that every element ♠ in ExtBan(X,E) is equivalent to a pushout of ♦. −→ Y −→ Z −→ X −→ 0 .


id: em-60
author: Causey, Ryan M.
title: The ξ, ζ-Dunford Pettis property
date: 2019-12-01
pages: 66
extension: .pdf
mime: application/pdf
words: 27863
sentence: 1758
flesch: 90
cache: cache/em-60.pdf
txt: txt/em-60.txt
summary:
  Let U be a free ultrafilter on N and for z = ( ∑n i=1 ai,nei) ∞ n=1 ∈ 178 r.m. causey `∞(En), let Pz = weak lim n∈U n∑ i=1 ai,nei ∈ Xξ,2. ∈ N


id: em-706
author: Gaucher, Philippe
title: Homotopy theory of Moore flows (II)
date: 2021-12-01
pages: 83
extension: .pdf
mime: application/pdf
words: 26546
sentence: 1836
flesch: 80
cache: cache/em-706.pdf
txt: txt/em-706.txt
summary:
  Definition 4.6), a zig-zag of Quillen equivalences between the q- model structure of multipointed d-spaces introduced in [11] and the q-model structure of flows introduced in [7]. The latter theorem is a consequence of the structural properties of the adjunction between multipointed d-spaces and Moore flows which can be summarized as follows: Theorem 1.1.


# ent

id: em-362
sid: 1
eid: 3
type: ORG
entity:
  instituto de investigación de matemáticas de la universidad de extremadura extracta mathematicae vol


id: em-1886
sid: 1
eid: 3
type: ORG
entity:
  instituto de investigación de matemáticas de la universidad de extremadura extracta mathematicae article in


id: em-361
sid: 173
eid: 1
type: PERSON
entity:
  doi.org/10.2140/pjm.1984.110.71 https://doi.org/10.1007/3-540-29587-9 https://doi.org/10.1090/surv/105 https://doi.org/10.1016/0022-0531(72)90136-6 https://doi.org/10.1090/s0002-9947-1955-0069386-1


id: em-639
sid: 20
eid: 1
type: PERSON
entity:
  https://doi.org/10.17398/2605-5686.36.1.51 mailto:havalmahmood07@gmail.com https://publicaciones.unex.es/index.php/em


id: em-360
sid: 13
eid: 1
type: ORG
entity:
  https://doi.org/10.17398/2605-5686.35.2.137 mailto:vidal.agniel@univ-lille.fr http://perso.eleves.ens-rennes.fr/~vaign357/index.html https://www.eweb.unex.es/eweb/extracta/


id: em-68
sid: 293
eid: 1
type: ORG
entity:
  http://rgmia.org/papers/v18/v18a126.pdf http://rgmia.org/papers/v18/v18a130.pdf http://rgmia.org/papers/v18/v18a135.pdf http://rgmia.org/papers/v18/v18a139.pdf http://rgmia.org/papers/v18/v18a147.pdf http://rgmia.org/papers/v19/v19a05.pdf


id: em-64
sid: 754
eid: 1
type: GPE
entity:
  https://www.emis.de/journals/jipam/article301.html?sid=301 https://www.emis.de/journals/jipam/article854.html?sid=854


id: em-706
sid: 1915
eid: 3
type: PERSON
entity:
  https://doi.org/10.4310/hha.2003.v5.n1.a20 https://doi.org/10.4310/hha.2008.v10.n1.a16 https://doi.org/10.32408/compositionality-3-3


id: em-706
sid: 1952
eid: 6
type: PERSON
entity:
  https://arxiv.org/abs/2011.13408 https://doi.org/10.1112/topo.12011 https://doi.org/10.1090/surv/099


