On some local geometry of Orlicz sequence spaces equipped with the Luxemburg norm
type: Item
instance of: scholarly article
title: On some local geometry of Orlicz sequence spaces equipped with the Luxemburg norm
zbMATH Open document ID: 0914.46004
DOI: 10.1023/A:1006533011548
author: K. Appert
published in: Acta Mathematica Hungarica
publication date: 1999-03-14T00:00:00Z
review text: Criteria for strong \(U\)-points, compactly locally uniformly rotund points, weakly compactly locally uniformly rotund-points and locally uniformly rotund-points in Orlicz sequence spaces equipped with the Luxemburg norm are given and several relations among them are found. It is also shown that in any Banach space \(X\) strong \(U\)-points are exposed points and that these points are related to very smooth points in the dual space \(X^*\).
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 1261211
zbMATH Keywords: Orlicz sequence spaces
zbMATH Keywords: strong \(U\)-points
zbMATH Keywords: compactly locally uniformly rotund points
zbMATH Keywords: weakly compactly locally uniformly rotund-points
zbMATH Keywords: Luxemburg norm
reviewed by: Lajos Tamássy
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1261211