Results 11 to 20 of about 92 (65)
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
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. Bişgin, A. Sönmez
semanticscholar +2 more sources
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
On New Difference Sequence Space and Their Generalised Almost Statistical Convergence
, 2020 The object of the present paper is to introduce the notion of generalised almost statistical (GAS) convergence of bounded real sequences, which generalises the notion of almost convergence as well as statistical convergence of bounded real sequences.
A. Singh
semanticscholar +1 more source
Generalised Limits for Vector Valued Sequences
, 2020 The object of the present paper is to introduce the extension of the concept of Banach limits for vector valued sequences and we prove the existence of Banach limits for vector valued sequences.
A. Singh
semanticscholar +1 more source
On matrix transformations and Hausdorff measure of noncompactness of Euler difference sequence spaces of fractional order [PDF]
, 2021 In the present paper, some results on matrix mappings and Hausdorff measure of noncompactness of certain generalized Euler difference sequence spaces of fractional order are discussed.
Kadak, Ugur, Baliarsingh, P.
core
On compact operators on some spaces related to matrix B(r, s) [PDF]
, 2010 Many sequence spaces arise from different concepts of summability. Recent results obtained by Altay, Ba?ar and Malkowsky [2] are related to strong Cesaro summability and boundedness.
Ivana Djolovic
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
Hilbert-Schauder frame operators [PDF]
, 2012 We introduce a new concept of frame operators for Banach spaces we call a HilbertSchauder frame operator. This is a hybird between standard frame theory for Hilbert spaces and Schauder frame theory for Banach spaces.
R. Liu
semanticscholar +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