Orlicz spaces of essentially bounded functions and Banach-Orlicz algebras
type: Item
instance of: scholarly article
title: Orlicz spaces of essentially bounded functions and Banach-Orlicz algebras
zbMATH Open document ID: 0579.46021
DOI: 10.1007/BF01193994
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: There are characterized all pairs [\(\Phi\),\(\mu\) ], where \(\Phi\) is a convex Orlicz function and \(\mu\) is a \(\sigma\)-finite, positive measure, for which \(L^{\Phi}(\mu)=L^{\infty}(\mu)\) and all these pairs that \(L^{\Phi}(\mu)\) are Banach quasi-algebras (or Banach algebras) under pointwise multiplication of functions. A characterization of Orlicz spaces that are F-algebras under pointwise multiplication of functions is given too.
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 3927650
zbMATH Keywords: essentially bounded function
zbMATH Keywords: convex Orlicz function
zbMATH Keywords: Banach quasi- algebras
zbMATH Keywords: characterization of Orlicz spaces that are F-algebras under
zbMATH Keywords: pointwise multiplication
zbMATH Keywords: characterization of Orlicz spaces that are F- algebras under pointwise multiplication
author: Henryk Hudzik
MaRDI profile type: Publication
cites work: Q4093973
cites work: Subalgebras of Orlicz spaces and related algebras of analytic functions
cites work: Orlicz spaces and modular spaces
cites work: Examples of orthomorphisms
cites work: Q3669960
description: scientific article; zbMATH DE number 3927650