A uniform geometric property of Banach spaces
type: Item
instance of: scholarly article
title: A uniform geometric property of Banach spaces
zbMATH Open document ID: 0788.46020
published in: Rocky Mountain Journal of Mathematics
publication date: 1993-01-17T00:00:00Z
review text: The authors prove the existence of Banach spaces which cannot be renormed in a uniformly convex manner (M. M. Day, 1941) even as such a space has the property \((\beta)\) (S. Rolewicz) lying intermediate between uniform convexity (UC) and nearly uniform convexity (NUC).
reviewed by: Shaligram Singh
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B03
zbMATH DE Number: 97436
zbMATH Keywords: renorming in a uniformly convex manner
zbMATH Keywords: uniform convexity
zbMATH Keywords: nearly uniform convexity
author: V. Montesinos
author: Juan Ramón Torregrosa Sánchez
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072759
OpenAlex ID: W2084223216
cites work: Uniformly Convex Spaces
cites work: Reflexive Banach spaces not isomorphic to uniformly convex spaces
cites work: Q3213662
cites work: Q3746314
cites work: Banach spaces which are nearly uniformly convex
cites work: Q4136031
cites work: Q3784621
cites work: On ∆-uniform convexity and drop property
DOI: 10.1216/RMJM/1181072759
description: scientific article; zbMATH DE number 97436