Results 1 to 10 of about 64 (36)
Some properties of Banach‐valued sequence spaces ℓp[X]
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 289-300, 2001., 2001 We discuss some properties of the Banach‐valued sequence space ℓp[X](1 ≤ p < ∞), the space of weakly p‐summable sequences on a Banach space X. For example, we characterize the reflexivity of ℓp[X], convergent sequences on ℓp[X], and compact subsets of ℓp[X].
Qingying Bu
wiley +2 more sources
On the compactness and spectra of the generalized difference operator on the spaces ℓ^∞ and bv
Operators and Matrices, 2021 In this paper, we consider the compactness and the spectrum of the generalized difference operator Δab on the Banach sequence spaces ∞ , of bounded sequences, and bv , of bounded variation sequences, which allows us to generalize and extend some existing
S. El-Shabrawy, Y. Sawano
semanticscholar +1 more source
Surjective isometries on Banach sequence spaces: A survey
Concrete Operators, 2022 In this survey, we present several results related to characterizing the surjective isometries on Banach sequence spaces. Our survey includes full proofs of these characterizations for the classical spaces as well as more recent results for combinatorial
Antunes Leandro, Beanland Kevin
doaj +1 more source
On the compactness and the essential norm of operators defined by infinite tridiagonal matrices
Concrete Operators, 2023 In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander +2 more
doaj +1 more source
Alexandria Engineering Journal, 2022 The aim of this work is to give some fixed point results based on the technique of measure of noncompactness which extend the classical Darbo’s theorem.
Anupam Das +3 more
doaj +1 more source
Upper bounds of some matrix operators on binomial and Orlicz-binomial double sequence spaces
Scientific African, 2022 In this article, we introduce binomial double sequence space bk(α,β;γ,δ) (1≤k≤∞) and Orlicz-binomial double sequence space bφ(α,β;γ,δ), and obtain certain inclusion results related to these spaces.
Taja Yaying, Bipan Hazarika
doaj +1 more source
Some topological and geometrical properties of new Banach sequence spaces
Journal of Inequalities and Applications, 2013 In the present paper, we introduce a new band matrix Fˆ and define the sequence space ℓp(Fˆ)={x=(xk)∈ω:∑k|fkfk+1xk−fk+1fkxk−1 ...
E. Kara
semanticscholar +2 more sources
Journal of Inequalities and Applications, 2014 In this work, we introduce two sequence spaces c0λ(Gm) and cλ(Gm) generated by the composition of m th order generalized difference matrix and lambda matrix and define an isomorphism between new sequence spaces and classical sequence spaces.
M. Bi̇şgi̇n, A. Sönmez
semanticscholar +2 more sources
Approximation properties of tensor norms and operator ideals for Banach spaces
Open Mathematics, 2020 For a finitely generated tensor norm α\alpha , we investigate the α\alpha -approximation property (α\alpha -AP) and the bounded α\alpha -approximation property (bounded α\alpha -AP) in terms of some approximation properties of operator ideals.
Kim Ju Myung
doaj +1 more source
Some geometric properties of N(λ,p)-spaces
Journal of Inequalities and Applications, 2014 In this paper, we introduce the sequence spaces N(λ,p) and we show some geometric properties of that spaces. The main purpose of this paper is to show that N(λ,p) is a Banach space and has the rotund property, the Kadec-Klee property, the uniform Opial ...
N. Braha
semanticscholar +2 more sources