Results 1 to 10 of about 47 (46)
A note on subsymmetric renormings of Banach spaces
Quaestiones Mathematicae, 2018 We revisit the concept of a subsymmetric norm and construct a subsymmetric renorming of a Banach space with a subsymmetric basis. As a by-product of our work we introduce the concept of a lower symmetric basis and investigate its connection with ...
JOSÉ L Ansorena
exaly +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
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
A study on q-analogue of Catalan sequence spaces
, 2023 In this study, we construct q-analog C(q) of Catalan matrix and study the sequence spaces c0 (C(q)) and c(C(q)) defined as the domain of q-Catalan matrix C(q) in the spaces c0 and c, respectively.
Merve Kara +7 more
core +1 more source
On uniform Kadec‐Klee properties and rotundity in generalized Cesàro sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 2, Page 91-97, 2004., 2004 We consider the generalized Cesàro sequence spaces defined by Suantai (2003) and consider it equipped with the Amemiya norm. The main purpose of this paper is to show that ces(p) equipped with the Amemiya norm is rotund and has uniform Kadec‐Klee property.
Narin Petrot, Suthep Suantai
wiley +1 more source
Contractive projections in Orlicz sequence spaces
Abstract and Applied Analysis, Volume 2004, Issue 2, Page 133-145, 2004., 2004 We characterize norm‐one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function. We measure smoothness of M using AC1 and AC2 classes introduced by Maleev and Troyanski in 1991, and the condition for
Beata Randrianantoanina
wiley +1 more source
On k‐nearly uniform convex property in generalized Cesàro sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3599-3607, 2003., 2003 We define a generalized Cesàro sequence space ces(p), where p = (pk) is a bounded sequence of positive real numbers, and consider it equipped with the Luxemburg norm. The main purpose of this paper is to show that ces(p) is k‐nearly uniform convex (k‐NUC) for k ≥ 2 when limn→∞infpn > 1. Moreover, we also obtain that the Cesàro sequence space cesp(where
Winate Sanhan, Suthep Suantai
wiley +1 more source