Strongly extreme points in Orlicz function spaces
type: Item
instance of: scholarly article
title: Strongly extreme points in Orlicz function spaces
zbMATH Open document ID: 0823.46030
author: Henryk Hudzik
author: Marek Wisła
author: Wiesław Kurc
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-11-05T00:00:00Z
review text: For any Orlicz function \(\Phi\) and any \(\sigma\)-finite atomless measure \(\mu\), the authors give a criterion for \(x\) from the unit sphere of the Orlicz space \(L^ \Phi(\mu)\), equipped with the Luxemburg norm, to be strongly extreme. Further, they characterize Orlicz spaces \(L^ \Phi(\mu)\) which are isometric to \(L^ \infty(\mu)\).
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 765091
zbMATH Keywords: strongly extreme points in Orlicz function spaces
zbMATH Keywords: Orlicz function
zbMATH Keywords: unit sphere of the Orlicz space
zbMATH Keywords: Luxemburg norm
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1043
OpenAlex ID: W1993415768
DOI: 10.1006/JMAA.1995.1043
description: scientific article; zbMATH DE number 765091