The Banach-Saks properties in Orlicz-Lorentz spaces
type: Item
instance of: scholarly article
title: The Banach-Saks properties in Orlicz-Lorentz spaces
zbMATH Open document ID: 1468.46040
DOI: 10.1155/2014/423198
author: Han Ju Lee
author: Anna Kamińska
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The Banach-Saks index of an Orlicz-Lorentz space \(\Lambda_{\varphi, w}(I)\) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of \(\varphi\). It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks) property if and only if it is separable (resp., reflexive).
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 7022363
zbMATH Keywords: Banach-Saks index
zbMATH Keywords: Orlicz-Lorentz space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/423198
OpenAlex ID: W1966950116
Wikidata QID: Q57618260
cites work: Q4452867
cites work: On reflexivity and summability
cites work: Q4155312
cites work: Q4136031
cites work: Banach-Saks properties of Musielak-Orlicz and Nakano sequence spaces
cites work: Q3975983
cites work: Q4440802
cites work: The hereditary Dunford-Pettis property on C(K,E)
cites work: Orlicz sequence spaces of Banach-Saks type
cites work: Q3854156
cites work: Geometric properties of symmetric spaces with applications to Orlicz-Lorentz spaces
cites work: Q5690137
cites work: On the dual of Orlicz-Lorentz space
cites work: Some Remarks on Orlicz‐Lorentz Spaces
cites work: Order convexity and concavity of Lorentz spaces Λp,w, 0<p<∞
cites work: Q4508972
cites work: Q3283148
cites work: Isomorphic copies in the lattice \(E\) and its symmetrization \(E^{(*)}\) with applications to Orlicz-Lorentz spaces
cites work: Type and cotype of Musielak-Orlicz sequence spaces
cites work: Q3975361
cites work: Indices, convexity and concavity in Musielak-Orlicz spaces
cites work: (p,q)-Convexity in quasi-Banach lattices and applications
cites work: Convexity conditions for non-locally convex lattices
cites work: Indices, convexity and concavity of Calderón-Lozanovskii spaces
cites work: Q4188284
cites work: Q4741003
cites work: The Banach-Saks index
cites work: The Banach–Saks property in rearrangement invariant spaces
cites work: Banach-Saks properties and spreading models.
cites work: Q3683058
description: scientific article; zbMATH DE number 7022363