On some renorming problems. II
type: Item
instance of: scholarly article
title: On some renorming problems. II
zbMATH Open document ID: 0698.46026
DOI: 10.1007/BF01194412
author: Henryk Hudzik
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: Competing results from an earlier paper [part I, Arch. Math. 48, 505-510 (1987; Zbl 0629.46030)] the author proves: Every Banach function lattice X over a positive \(\sigma\)-finite measure space admits an equivalent norm that is uniformly rotund in every direction. If additionally, X is reflexive, and \(\mu\) is separable, then X admits an equivalent norm which is simultaneously uniformly rotund in every direction and weakly uniformly rotund.
reviewed by: H. G. Feichtinger
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 4144727
zbMATH Keywords: Banach function lattice
zbMATH Keywords: \(\sigma\)-finite measure space
zbMATH Keywords: equivalent norm that is uniformly rotund in every direction
MaRDI profile type: Publication
cites work: A Lattice Renorming Theorem and Applications to Vector-Valued Processes
cites work: On some renorming problems
cites work: Q3943455
cites work: Q3692278
cites work: Rotundity in Lebesgue-Bochner Function Spaces
cites work: Q5777588
full work available at URL: https://doi.org/10.1007/bf01194412
OpenAlex ID: W2088038274
description: scientific article; zbMATH DE number 4144727