Uniform Gateaux differentiability and weak uniform rotundity of Musielak-Orlicz function spaces.
type: Item
instance of: scholarly article
title: Uniform Gateaux differentiability and weak uniform rotundity of Musielak-Orlicz function spaces.
zbMATH Open document ID: 1085.46009
author: Liu Li Fang
author: Wang Ting Fu
author: Henryk Hudzik
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2004-03-29T00:00:00Z
review text: The authors present a simple proof dealing with criteria for uniform Gâteaux differentiability of Musielak-Orlicz spaces equipped with the Luxemburg norm and weak uniform rotundity of the subspaces of order continuous elements of Musielak-Orlicz spaces endowed with the Orlicz norm. The criteria are even new in the case of Orlicz spaces. The authors indicate that the criteria for the Orlicz norm are different from those for the Luxemburg norm. The topic of the paper is related to fixed point theory.
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 46G05
zbMATH DE Number: 2062874
zbMATH Keywords: Musielak-Orlicz space
zbMATH Keywords: Orlicz space
zbMATH Keywords: delta two condition
zbMATH Keywords: almost uniform convexity of Musielak-Orlicz functions
zbMATH Keywords: Luxemburg norm
zbMATH Keywords: Orlicz norm
zbMATH Keywords: uniform Gâteaux differentiability
zbMATH Keywords: weak uniform rotundity
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: j.na.2003.11.007
OpenAlex ID: W2010780677
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DOI: 10.1016/J.NA.2003.11.007
description: scientific article; zbMATH DE number 2062874