Basic theory of \(p\)-Amemiya norm in Orlicz spaces (\(1\leq p\leq \infty\)): Extreme points and rotundity in Orlicz spaces endowed with these norms
type: Item
instance of: scholarly article
title: Basic theory of \(p\)-Amemiya norm in Orlicz spaces (\(1\leq p\leq \infty\)): Extreme points and rotundity in Orlicz spaces endowed with these norms
zbMATH Open document ID: 1165.46005
author: Yunan Cui
author: Lifen Duan
author: Henryk Hudzik
author: Marek Wisła
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2008-08-27T00:00:00Z
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 5316907
zbMATH Keywords: Orlicz space
zbMATH Keywords: \(p\)-Amemiya norm
zbMATH Keywords: extreme point
zbMATH Keywords: rotundity
MaRDI profile type: Publication
full work available at URL: j.na.2007.07.026
OpenAlex ID: W2047668497
cites work: Q4338822
cites work: Q4704623
cites work: Extreme points and strongly extreme points in Orlicz spaces equipped with the Orlicz norm
cites work: Criteria for monotonicity properties of Musielak-Orlicz spaces equipped with the Amemiya norm
cites work: Extreme points and strong U-points in Musiełak-Orlicz sequence spaces equipped with the Orlicz norm
cites work: Closedness of the Set of Extreme Points in Orlicz Spaces
cites work: Q3938038
cites work: Amemiya norm equals Orlicz norm in general
cites work: On extreme points of Orlicz spaces with Orlicz norm
cites work: Q3920139
cites work: Q3749578
cites work: Q4136031
cites work: Q3229647
cites work: Q4348185
cites work: Orlicz spaces and modular spaces
cites work: On modular spaces
cites work: Q5801558
cites work: Q4752373
cites work: Q5760572
cites work: Q3847669
cites work: Q4000065
cites work: Q4329087
DOI: 10.1016/J.NA.2007.07.026
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description: scientific article; zbMATH DE number 5316907