Smoothness of Orlicz function spaces equipped with the \(p\)-Amemiya norm
type: Item
instance of: scholarly article
title: Smoothness of Orlicz function spaces equipped with the \(p\)-Amemiya norm
zbMATH Open document ID: 1478.46026
author: Marek Wisła
author: Xiaoyan Li
author: Yunan Cui
published in: Banach Journal of Mathematical Analysis
publication date: 2021-06-03T00:00:00Z
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B45
Mathematics Subject Classification ID: 46B42
Mathematics Subject Classification ID: 46A80
zbMATH DE Number: 7354433
zbMATH Keywords: Orlicz space
zbMATH Keywords: \(p\)-Amemiya norm
zbMATH Keywords: supporting functional
zbMATH Keywords: smooth point
MaRDI profile type: Publication
full work available at URL: s43037-021-00133-x
OpenAlex ID: W3161902406
cites work: Q3748810
cites work: Q5337451
cites work: Complex extreme points and complex rotundity in Orlicz function spaces equipped with the \(p\)-Amemiya norm
cites work: Q3782226
cites work: Smooth points of Orlicz spaces
cites work: Q4338822
cites work: Q4294111
cites work: Non-squareness properties of Orlicz spaces equipped with the \(p\)-Amemiya norm
cites work: 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
cites work: Some fundamental properties for duals of Orlicz spaces
cites work: Strongly extreme points in Orlicz spaces equipped with the \(p\)-Amemiya norm
cites work: Monotonicity properties and dominated best approximation problems in Orlicz spaces equipped with the \(p\)-Amemiya norm
cites work: Smooth Points of ORLICZ Spaces Equipped with LUXEMBURG Norm
cites work: Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings
cites work: Amemiya norm equals Orlicz norm in general
cites work: Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm
cites work: Uniform rotundity of Orlicz function spaces equipped with the ‐Amemiya norm
cites work: Q3272715
cites work: Q3237452
cites work: Orlicz spaces and modular spaces
cites work: Some remarks on the spaces N(L) and N(l)
cites work: Q3847669
cites work: Q4000065
cites work: On the smoothness of Orlicz sequence spaces equipped with Orlicz norm
cites work: Smoothness of the Orlicz norm in Musielak–Orlicz function spaces
cites work: The smooth points of Orlicz sequence spaces
cites work: Geometric properties of Orlicz spaces equipped with \(p\)-Amemiya norms -- results and open questions
cites work: Orlicz spaces equipped with \(s\)-norms
DOI: 10.1007/S43037-021-00133-X
description: scientific article; zbMATH DE number 7354433