Gateaux differentiable norms in \(L_ p\)
type: Item
instance of: scholarly article
title: Gateaux differentiable norms in \(L_ p\)
zbMATH Open document ID: 0675.46010
DOI: 10.1007/BF01446889
published in: Mathematische Annalen
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164681
review text: If p is odd and if m is a finite measure, then \(L_ p(m)\) admits an equivalent p times Gateaux differentiable norm. In \(\ell_ p(A)\), p odd, A uncountable, there is no p times Gateaux differentiable equivalent norm.
Mathematics Subject Classification ID: 46B25
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 4105605
zbMATH Keywords: equivalent p times Gateaux differentiable norm
author: S. Troyanski
MaRDI profile type: Publication
cites work: Q5519417
cites work: Strict Convexity and Smoothness of Normed Spaces
cites work: Geometry of Banach spaces. Selected topics
cites work: Norms with locally Lipschitzian derivatives
cites work: On Orlicz sequence spaces. III
cites work: Smooth Norms in Orlicz Spaces
cites work: Geometry and nonlinear analysis in Banach spaces
OpenAlex ID: W2052834665
description: scientific article; zbMATH DE number 4105605