id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4992	Sidaty, Mohamed Ahmed	Köthe Dual of Some Vector-valued Sequence Spaces	2024	9	.pdf	application/pdf	3464	224	84	= B(α, t) = ⟨a, αt⟩, for α = (αn)n ∈ λ and t ∈ E, where B ∈ I(λ × E) is the integral bilinear form on λ× E corresponding to fa. Math, 17 (1) (2024), 171-179 174 Let a ∈ E′, M ∈ M with a ∈ M and x = (xn)n ∈ B. Then,∣∣∣∣∣ 〈 a, ∞∑ n=1 αnxn 〉∣∣∣∣∣ = ∣∣∣∣∣ ∞∑ n=1 αna(xn) ∣∣∣∣∣ ≤ ∞∑ n=1 |αna(xn)| ≤ εM (x).	cache/ejpam-4992.pdf	txt/ejpam-4992.txt