k-uniform rotundity is equivalent to k-uniform convexity
type: Item
instance of: scholarly article
title: k-uniform rotundity is equivalent to k-uniform convexity
zbMATH Open document ID: 0649.46014
DOI: 10.1016/0022-247X(88)90066-2
author: Pei-Kee Lin
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: The author proves that a Banach space is K-uniformly rotund if and only if it is K-uniformly convex.
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 4060082
zbMATH Keywords: Banach space
zbMATH Keywords: K-uniformly rotund
zbMATH Keywords: K-uniformly convex
reviewed by: Liu Zheng
MaRDI profile type: Publication
cites work: Multi-dimensional volumes, super-reflexivity and normal structure in Banach spaces
cites work: Multi-dimensional volumes and moduli of convexity in Banach spaces
cites work: GEOMETRIC THEORY OF BANACH SPACES. PART II. GEOMETRY OF THE UNIT SPHERE
full work available at URL: 0022-247x(88)90066-2
OpenAlex ID: W2090010324
description: scientific article; zbMATH DE number 4060082