On some properties of Musielak-Orlicz spaces and their subspaces of order continuous elements
type: Item
instance of: scholarly article
title: On some properties of Musielak-Orlicz spaces and their subspaces of order continuous elements
zbMATH Open document ID: 0760.46022
DOI: 10.1007/BF02454379
author: Henryk Hudzik
author: S. Chen
published in: Periodica Mathematica Hungarica
publication date: 1993-02-08T00:00:00Z
review text: Some criteria in order that \(\ell^ 1\) embeds complementably in a Musielak-Orlicz space \(L^ \Phi(\mu)\) and in its subspace \(E^ \Phi(\mu)\) of order continuous elements are given. It is also proved that every ideal \(L\) in \(L^ \Phi(\mu)\) such that \(\int_ T\Phi(x/\| x\|_ \Phi)d\mu=1\) for any \(x\in L\setminus\{0\}\) is contained in \(E^ \Phi(\mu)\).
reviewed by: Henryk Hudzik
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B25
zbMATH DE Number: 118334
zbMATH Keywords: Musielak-Orlicz space
MaRDI profile type: Publication
cites work: Q5337451
cites work: On l1 subspaces of Orlicz vector-valued function spaces
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cites work: Linear functionals on Orlicz sequence spaces without local convexity
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description: scientific article; zbMATH DE number 118334