item: #1 of 88 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 words: 9222 flesch: 87 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) . keywords: bundle; let; tam; vector; weil cache: em-1077.pdf plain text: em-1077.txt item: #2 of 88 id: em-1078 author: Lukoto, Tshikhudo; Raubenheimer, Heinrich title: Perturbation Ideals and Fredholm Theory in Banach Algebras date: 2022-06-01 words: 7229 flesch: 83 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. keywords: algebra; banach; banach algebra; elements; ideal cache: em-1078.pdf plain text: em-1078.txt item: #3 of 88 id: em-1134 author: Cabello Sánchez, Javier title: Order isomorphisms between bases of topologies date: 2022-06-01 words: 4953 flesch: 77 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. keywords: open; spaces cache: em-1134.pdf plain text: em-1134.txt item: #4 of 88 id: em-1140 author: Weigt, Martin; Zarakas, I. title: On formal power series over topological algebras date: 2022-06-01 words: 6532 flesch: 73 summary: Let x ∈ A and D : Let x ∈ A, and f(z) = z for all z ∈ C. keywords: algebra; c[[x; d(δ; homomorphism; k=0; let; theorem; unital cache: em-1140.pdf plain text: em-1140.txt item: #5 of 88 id: em-1158 author: Pouye, M. ; Kpamegan, B. title: Extensions, crossed modules and pseudo quadratic Lie type superalgebras date: 2022-12-01 words: 10456 flesch: 83 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. keywords: jacobi; jordan; lie; lie type; relation; superalgebra; type; type superalgebra cache: em-1158.pdf plain text: em-1158.txt item: #6 of 88 id: em-1161 author: Jayaraman, S. ; Prajapaty, Y.K.; Sridharan, S. title: Dynamics of products of nonnegative matrices date: 2022-12-01 words: 7206 flesch: 76 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. keywords: collection; eigenvectors; matrices; matrix; theorem cache: em-1161.pdf plain text: em-1161.txt item: #7 of 88 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 words: 3829 flesch: 83 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. keywords: loop; lwpc cache: em-1201.pdf plain text: em-1201.txt item: #8 of 88 id: em-121 author: Tarizadeh, A. title: On the projectivity of finitely generated flat modules date: 2020-06-01 words: 4803 flesch: 78 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. keywords: module; projective; ring; theorem cache: em-121.pdf plain text: em-121.txt item: #9 of 88 id: em-122 author: Attan, S.; Hounnon, H.; Kpamegan, B. title: Hom-Jordan and Hom-alternative bimodules date: 2020-06-01 words: 10551 flesch: 85 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. keywords: algebra; alternative; asa; hom; jordan cache: em-122.pdf plain text: em-122.txt item: #10 of 88 id: em-123 author: Mabrouk, S.; Makhlouf, A.; Massoud, S. title: Generalized representations of 3-Hom-Lie algebras date: 2020-06-01 words: 7686 flesch: 88 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. keywords: algebra; hom; lie; lie algebra; representation cache: em-123.pdf plain text: em-123.txt item: #11 of 88 id: em-124 author: Sofo, A. title: Identities in the spirit of Euler date: 2020-06-01 words: 3699 flesch: 84 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 ) keywords: euler; sums cache: em-124.pdf plain text: em-124.txt item: #12 of 88 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 words: 2683 flesch: 82 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. keywords: determinant; functions; hankel; math cache: em-125.pdf plain text: em-125.txt item: #13 of 88 id: em-126 author: Lee, S.C.; Varmazyar, R: title: A remark on prime ideals date: 2020-06-01 words: 4382 flesch: 84 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]). keywords: module; submodule cache: em-126.pdf plain text: em-126.txt item: #14 of 88 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 words: 6041 flesch: 77 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. keywords: berezin; inequalities; inequality; kantorovich; k̂λ cache: em-127.pdf plain text: em-127.txt item: #15 of 88 id: em-1359 author: Mohammed Salih, H.M; Rezhna M. Hussein, Rezhna M. title: Genus zero of projective symplectic groups date: 2022-12-01 words: 5374 flesch: 85 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) keywords: genus; group; ind; zero cache: em-1359.pdf plain text: em-1359.txt item: #16 of 88 id: em-1781 author: Dragomir, S.S. title: Second derivative Lipschitz type inequalities for an integral transform of positive operators in Hilbert spaces date: 2022-12-01 words: 6170 flesch: 90 summary: A + tB + λ)−1 ≤ ((1 − t) m1 + tm2 + λ)−1 , and ∥∥∥((1 − t) − t) keywords: w,µ cache: em-1781.pdf plain text: em-1781.txt item: #17 of 88 id: em-1785 author: DiMarco, C.A. title: Topological Hausdorff dimension and Poincaré inequality date: 2022-12-01 words: 3471 flesch: 74 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. keywords: dimension; hausdorff cache: em-1785.pdf plain text: em-1785.txt item: #18 of 88 id: em-1795 author: Elhamdadi, M.; Lahrani, H.; Gona, T. title: Topologies, posets and finite quandles date: 2022-11-23 words: 5086 flesch: 78 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. keywords: finite; posets; quandle cache: em-1795.pdf plain text: em-1795.txt item: #19 of 88 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 words: 7572 flesch: 85 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) keywords: algebra; hom; jordan; jordan algebra cache: em-1801.pdf plain text: em-1801.txt item: #20 of 88 id: em-1886 author: Weigt, Martin title: A note on isomorphisms of quantum systems date: 2022-12-14 words: 3545 flesch: 68 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)) keywords: a[b0; adjoint; ∗-algebra cache: em-1886.pdf plain text: em-1886.txt item: #21 of 88 id: em-2063 author: En-guady, A.; Boua, A. title: On Jordan ideals with left derivations in 3-prime near-rings date: 2023-01-23 words: 5796 flesch: 90 summary: = H((x◦ j)j) for all i,j ∈ J, x ∈N . + jd(x◦ j) = H(x◦ j)j for all i,j ∈ J, x ∈N . keywords: j ∈; z(n cache: em-2063.pdf plain text: em-2063.txt item: #22 of 88 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 words: 6537 flesch: 91 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)] keywords: ∈ l. cache: em-2238.pdf plain text: em-2238.txt item: #23 of 88 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 words: 6331 flesch: 82 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) ( keywords: cycles; limit cache: em-2241.pdf plain text: em-2241.txt item: #24 of 88 id: em-2260 author: Cavicchioli, A. ; Spaggiari, F. title: The character variety of one relator groups date: 2023-06-01 words: 6506 flesch: 76 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 keywords: character; equation; groups; theorem; torus; variety cache: em-2260.pdf plain text: em-2260.txt item: #25 of 88 id: em-2302 author: De Pauw, T.; Bouafia, P. title: Radon-Nikodýmification of arbitrary measure spaces date: 2023-07-19 words: 28247 flesch: 80 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 . keywords: f ∈; family; localizable; measurable; measure; morphism; msn; preserving; proposition; set; space; supremum; version; z ∈; ∈ e; ∈ n cache: em-2302.pdf plain text: em-2302.txt item: #26 of 88 id: em-2303 author: Sancho de Salas, J.B. title: The fundamental theorem of affine geometry date: 2023-07-20 words: 5362 flesch: 75 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 keywords: affine; morphism; space; theorem cache: em-2303.pdf plain text: em-2303.txt item: #27 of 88 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 words: 2525 flesch: 98 summary: ,a2n ∈ R. By simplicity, we denote T = (a1, · · · ,a2n )t. Let W1, . . . ,bn ∈ R. By simplicity, we denote T = (b0, · · · ,bn)t. keywords: ext; z2n cache: em-359.pdf plain text: em-359.txt item: #28 of 88 id: em-360 author: Agniel, Vidal title: Unitary skew-dilations of Hilbert space operators date: 2020-12-01 words: 15970 flesch: 87 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. keywords: c(ρn; infn; lim; operators; proof; r(t; space; t u; w(ρn)(t; |ρn| cache: em-360.pdf plain text: em-360.txt item: #29 of 88 id: em-361 author: Wrobel, Andrew J. title: Mackey continuity of convex functions on dual Banach spaces: a review date: 2020-12-01 words: 4607 flesch: 61 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 keywords: continuity; convex; mackey; space; theorem; topology cache: em-361.pdf plain text: em-361.txt item: #30 of 88 id: em-362 author: Gil', M.I. title: On angular localization of spectra of perturbed operators date: 2020-12-01 words: 2210 flesch: 79 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. keywords: operator cache: em-362.pdf plain text: em-362.txt item: #31 of 88 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 words: 5454 flesch: 80 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]. keywords: operator; subspace; theorem cache: em-363.pdf plain text: em-363.txt item: #32 of 88 id: em-365 author: Samti, Amal title: Multifractal formalism of an inhomogeneous multinomial measure with various parameters date: 2020-12-01 words: 6103 flesch: 85 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. keywords: lim; log cache: em-365.pdf plain text: em-365.txt item: #33 of 88 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 words: 12919 flesch: 93 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). keywords: = +; d(t; im(t; ker(t; lemma cache: em-377.pdf plain text: em-377.txt item: #34 of 88 id: em-378 author: Maouche, Abdelaziz title: A Symmetrical Property of the Spectral Trace in Banach Algebras date: 2017-12-01 words: 3227 flesch: 81 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 keywords: banach cache: em-378.pdf plain text: em-378.txt item: #35 of 88 id: em-379 author: Mizuguchi, Hiroyasu title: The Differences Between Birkhoff and Isosceles Orthogonalities in Radon Planes date: 2017-12-01 words: 10566 flesch: 98 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) keywords: 2(1 −; k(1 −; − c; − k; − t; − √ cache: em-379.pdf plain text: em-379.txt item: #36 of 88 id: em-381 author: Biggs, Rory; Remsing, Claudiu C. title: Invariant Control Systems on Lie Groups: A Short Survey date: 2017-12-01 words: 9634 flesch: 75 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). keywords: biggs; classification; control; control systems; cost; equivalence; feedback; groups; lie; poisson; remsing; systems cache: em-381.pdf plain text: em-381.txt item: #37 of 88 id: em-382 author: Razavi Nazari, Rafieh; Ghalandarzadeh, Shaban title: Content Semimodules date: 2017-12-01 words: 6854 flesch: 85 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 keywords: content; ideal; semimodule; semiring cache: em-382.pdf plain text: em-382.txt item: #38 of 88 id: em-383 author: Dey, S.; Bhattacharyya, A. title: Conformal Mappings of Mixed Generalized Quasi-Einstein Manifolds Admitting Special Vector Fields date: 2017-12-01 words: 5566 flesch: 80 summary: − b − c ] σk = 0 . (3.18) conformal mappings 271 Multiplying (3.18) by ψh, we obtain[ (n − 1)c − b keywords: constant; field; manifold; vector cache: em-383.pdf plain text: em-383.txt item: #39 of 88 id: em-384 author: Ghenciu, Ioana title: A Note on Some Isomorphic Properties in Projective Tensor Products date: 2017-06-01 words: 9634 flesch: 83 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 ∗). keywords: banach; compact; limited; property; space; theorem cache: em-384.pdf plain text: em-384.txt item: #40 of 88 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 words: 8167 flesch: 94 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) keywords: t −; − t)t; ∥(1 −; ∥v − cache: em-385.pdf plain text: em-385.txt item: #41 of 88 id: em-386 author: Araújo, Jogli G.; de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio title: Characterizations of Complete Linear Weingarten Spacelike Submanifolds in a Locally Symmetric Semi-Riemannian Manifold date: 2017-06-01 words: 8360 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. keywords: curvature cache: em-386.pdf plain text: em-386.txt item: #42 of 88 id: em-387 author: Jaleel, Ahsan; Percy, Andrew title: Resolutions of Cohomology Algebras and other Struggles with Integer Coefficients date: 2017-06-01 words: 7438 flesch: 63 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. keywords: algebras; category; coefficients; cohomology; homotopy; operations; products; resolution; sequence; simplicial; spaces cache: em-387.pdf plain text: em-387.txt item: #43 of 88 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 words: 4915 flesch: 87 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. keywords: φ(a; φ(b cache: em-388.pdf plain text: em-388.txt item: #44 of 88 id: em-391 author: Gupta, Manjul; Baweja, Deepika title: Weighted Spaces of Holomorphic Functions on Banach Spaces and the Approximation Property date: 2016-12-01 words: 7496 flesch: 83 summary: ∈ F and span{δx : x ∈ U} = Gw(U). For x ∈ U, choose ϕx ∈ F ∗ such that ∥ϕx∥ = 1 and ϕx(Q(x)) keywords: banach; gw(u; hw(u; proposition; space; subset; sup cache: em-391.pdf plain text: em-391.txt item: #45 of 88 id: em-392 author: Chafai, Ezzeddine; Mnif, Maher title: Ascent and Essential Ascent Spectrum of Linear Relations date: 2016-12-01 words: 8642 flesch: 88 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) keywords: ascent; lemma; linear; n(t; r(t cache: em-392.pdf plain text: em-392.txt item: #46 of 88 id: em-393 author: Przeslawski, Krzysztof; Yost, David title: More Indecomposable Polyhedra date: 2016-12-01 words: 7698 flesch: 70 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. keywords: edges; polyhedra; polytope; vertices cache: em-393.pdf plain text: em-393.txt item: #47 of 88 id: em-394 author: Narmanov, A.Ya.; Sharipov, A.S. title: Geometry of Foliated Manifolds date: 2016-12-01 words: 3376 flesch: 74 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. keywords: field; foliations; metric; riemannian; vector cache: em-394.pdf plain text: em-394.txt item: #48 of 88 id: em-395 author: Das, Apurba title: On Generalized Lie Bialgebroids and Jacobi Groupoids date: 2016-12-01 words: 9614 flesch: 78 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. keywords: bialgebroid; groupoid; jacobi; lie; lie algebroid; structure; × r cache: em-395.pdf plain text: em-395.txt item: #49 of 88 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 words: 2056 flesch: 77 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. keywords: form; ricci; space cache: em-396.pdf plain text: em-396.txt item: #50 of 88 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 words: 3859 flesch: 87 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. keywords: i=1; spaces cache: em-398.pdf plain text: em-398.txt item: #51 of 88 id: em-399 author: Salhi, A. ; Zerouali, H. title: On a ρn -Dilation of Operator in Hilbert Spaces date: 2016-06-01 words: 3351 flesch: 81 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. keywords: operator cache: em-399.pdf plain text: em-399.txt item: #52 of 88 id: em-400 author: Salaryan, Aliakbar; Vaezi, Hamid title: Adjoints of Generalized Composition Operators with Linear Fractional Symbol date: 2016-06-01 words: 3531 flesch: 75 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. keywords: composition cache: em-400.pdf plain text: em-400.txt item: #53 of 88 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 words: 6388 flesch: 80 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 . keywords: s∑ j cache: em-403.pdf plain text: em-403.txt item: #54 of 88 id: em-404 author: Tanaka, Yuuji title: On the Moduli Space of Donaldson-Thomas Instantons date: 2016-06-01 words: 7338 flesch: 77 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). keywords: complex; donaldson; equations; hermitian; thomas; u(e cache: em-404.pdf plain text: em-404.txt item: #55 of 88 id: em-407 author: Soltan, V. title: Cone asymptotes of convex sets date: 2021-06-20 words: 7037 flesch: 87 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) keywords: asymptote; cone; convex cache: em-407.pdf plain text: em-407.txt item: #56 of 88 id: em-487 author: Anastassiou, S.; Chrysikos, I. title: Ancient solutions of the homogeneous Ricci flow on flag manifolds date: 2021-06-20 words: 18442 flesch: 76 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∗ : keywords: = g; einstein; flag; flow; homogeneous; infinity; invariant; m =; m g; manifold; metric; r =; ricci; ricci flow; solutions; system cache: em-487.pdf plain text: em-487.txt item: #57 of 88 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 words: 4518 flesch: 86 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. keywords: ∣∣f cache: em-53.pdf plain text: em-53.txt item: #58 of 88 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 words: 4523 flesch: 71 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 keywords: deformations; differential; end(v; lie; space; λ+k cache: em-54.pdf plain text: em-54.txt item: #59 of 88 id: em-60 author: Causey, Ryan M. title: The ξ, ζ-Dunford Pettis property date: 2019-12-01 words: 27863 flesch: 90 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 keywords: assume; banach; fix; i=1; j=1; l ∈; model; property; space; subsequence; ∈ n; ∞ n=1; ∥∥∥∥ cache: em-60.pdf plain text: em-60.txt item: #60 of 88 id: em-63 author: Yadav, Sunil Kumar title: Ricci solitons on para-Kähler manifolds date: 2019-12-01 words: 4412 flesch: 83 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 ) keywords: para; ricci cache: em-63.pdf plain text: em-63.txt item: #61 of 88 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 words: 6090 flesch: 81 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. keywords: fredholm; operator; spectrum cache: em-633.pdf plain text: em-633.txt item: #62 of 88 id: em-634 author: Attan, S. title: Structure and bimodules of simple Hom-alternative algebras date: 2021-06-20 words: 8170 flesch: 79 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. keywords: a,µ,α; algebra; alternative; hom; ker(α; structure cache: em-634.pdf plain text: em-634.txt item: #63 of 88 id: em-639 author: Salih, H.M. Mohammed title: Hurwitz components of groups with socle PSL(3, q) date: 2021-06-20 words: 4031 flesch: 76 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) keywords: braid; genus; groups; simple; type cache: em-639.pdf plain text: em-639.txt item: #64 of 88 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 words: 8188 flesch: 97 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). keywords: n∑ j=1; sup; ∣∣∣∣∣ cache: em-64.pdf plain text: em-64.txt item: #65 of 88 id: em-640 author: Schrempf, K. title: Free (rational) derivation date: 2021-06-20 words: 8133 flesch: 77 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, . . . keywords: als; block; derivation; linear; matrix; section cache: em-640.pdf plain text: em-640.txt item: #66 of 88 id: em-65 author: Lofti, Hela title: The μ-topological Hausdorff dimension date: 2019-12-01 words: 5314 flesch: 81 summary: Key words: Hausdorff dimension, Topological Hausdorff dimension. [2] P. Billingsley, Hausdorff dimension in probability theory, Illinois J. Math. 4 (1960), 187 – 209. keywords: dimension; hausdorff; hausdorff dimension cache: em-65.pdf plain text: em-65.txt item: #67 of 88 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 words: 4768 flesch: 72 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. keywords: generation; group; measure; topological cache: em-66.pdf plain text: em-66.txt item: #68 of 88 id: em-67 author: Macedo Ferreira, B.L. title: Additivity of elementary maps on gamma rings date: 2019-06-01 words: 4137 flesch: 93 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) keywords: a11; a12 cache: em-67.pdf plain text: em-67.txt item: #69 of 88 id: em-69 author: Stewart, Ian title: Tetrahedral chains and a curious semigroup date: 2019-06-01 words: 7794 flesch: 76 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. keywords: chain; group; matrices; proof; reflections; semigroup cache: em-69.pdf plain text: em-69.txt item: #70 of 88 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 words: 3551 flesch: 83 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)). keywords: ε(t cache: em-70.pdf plain text: em-70.txt item: #71 of 88 id: em-704 author: Soltan, Valeriu title: Support and separation properties of convex sets in finite dimension date: 2021-12-01 words: 13354 flesch: 76 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. keywords: convex; hyperplane; math; point; properties; separation; sets; support; theorem cache: em-704.pdf plain text: em-704.txt item: #72 of 88 id: em-705 author: Lajnef, Melik; Mnif, Maher title: On isolated points of the approximate point spectrum of a closed linear relation date: 2022-06-01 words: 5376 flesch: 88 summary: ∈ T |Fxn and ‖xn‖T |F = ‖xn‖T . Let T ∈ CR(X) and let 0 be an isolated point of σap(T). keywords: im(t; k(t; linear; point cache: em-705.pdf plain text: em-705.txt item: #73 of 88 id: em-706 author: Gaucher, Philippe title: Homotopy theory of Moore flows (II) date: 2021-12-01 words: 26546 flesch: 80 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. keywords: category; definition; execution; flows; functor; homotopy; map; maps; moore; proof; proposition; set; spaces; theorem cache: em-706.pdf plain text: em-706.txt item: #74 of 88 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 words: 2716 flesch: 82 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. keywords: φki cache: em-707.pdf plain text: em-707.txt item: #75 of 88 id: em-708 author: Castillo, Jesús title: The hitchhiker guide to Categorical Banach space theory. Part II. date: 2022-06-01 words: 20196 flesch: 75 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 . keywords: banach; banach spaces; castillo; categorical; categories; category; complexes; diagram; exact; extension; functor; j.m.f; kan; left; objects; projective; quasi; right; sequences; spaces; theory; −−−−→ cache: em-708.pdf plain text: em-708.txt item: #76 of 88 id: em-71 author: Dutta, S.; Jayanarayanan, C.R.; Khurana, Divya title: Ideal operators and relative Godun sets date: 2019-06-01 words: 7010 flesch: 80 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. keywords: banach; ideal; operator; projection; space; subspace cache: em-71.pdf plain text: em-71.txt item: #77 of 88 id: em-72 author: Ghandehari, Mostafa; Martini, Horst title: On self-circumferences in Minkowski planes date: 2019-06-01 words: 3242 flesch: 79 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]). keywords: de(z; self cache: em-72.pdf plain text: em-72.txt item: #78 of 88 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 words: 4043 flesch: 73 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. keywords: curvature cache: em-73.pdf plain text: em-73.txt item: #79 of 88 id: em-75 author: Dragomir, Sever title: Some New Reverses and Refinements of Inequalities for Relative Operator Entropy date: 2018-12-01 words: 4982 flesch: 89 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 keywords: b −; y − cache: em-75.pdf plain text: em-75.txt item: #80 of 88 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 words: 3582 flesch: 82 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)). keywords: theorem; σ(t cache: em-76.pdf plain text: em-76.txt item: #81 of 88 id: em-77 author: Kim, Sung Guen title: Exposed Polynomials of P(2R2 h(1/2)) date: 2018-12-01 words: 5474 flesch: 96 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. keywords: m=1 cache: em-77.pdf plain text: em-77.txt item: #82 of 88 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 words: 6995 flesch: 90 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). keywords: d(t; linear; n(t; relation; t(0 cache: em-78.pdf plain text: em-78.txt item: #83 of 88 id: em-80 author: Castillo, Jesús M.F. ; Chō, Muneo; González, Manuel title: Three-operator Problems in Banach Spaces date: 2018-12-01 words: 5657 flesch: 78 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 keywords: banach; class; operator; property; space; −−−−→ cache: em-80.pdf plain text: em-80.txt item: #84 of 88 id: em-82 author: López P., Iris A. title: Sobolev Spaces and Potential Spaces Associated to Hermite Polynomials Expansions date: 2018-12-01 words: 5796 flesch: 83 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 keywords: spaces cache: em-82.pdf plain text: em-82.txt item: #85 of 88 id: em-83 author: Abidi, Jamel title: Partial Differential Equations and Strictly Plurisubharmonic Functions in Several Variables date: 2018-06-01 words: 15082 flesch: 96 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}. keywords: analytic; functions; psh; z)α1; ∂z1; ∂z2; ∈ c; ∣∣∣∣2 cache: em-83.pdf plain text: em-83.txt item: #86 of 88 id: em-84 author: Bracamonte, Mireya; Medina, Jesús; Vivas, Miguel title: On some inequalities for strongly reciprocally convex functions date: 2018-06-01 words: 5614 flesch: 85 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. keywords: convex; − t cache: em-84.pdf plain text: em-84.txt item: #87 of 88 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 words: 7384 flesch: 85 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 ∞ . keywords: diagram; n+1; representing; space cache: em-85.pdf plain text: em-85.txt item: #88 of 88 id: em-87 author: Ben Brahim, Fatma; Jeribi, Aref; Krichen, Bilel title: Spectral properties for polynomial and matrix operators involving demicompactness classes date: 2018-06-01 words: 7725 flesch: 84 summary: K ∈ ΨT (X)) such that λ − T − K is injective (resp. surjective). [I + K(λ − T − K)−1](λ − T − K). keywords: operator cache: em-87.pdf plain text: em-87.txt