On the Banach-Saks property
type: Item
instance of: scholarly article
title: On the Banach-Saks property
zbMATH Open document ID: 0599.46020
author: Nolio Okada
published in: Proceedings of the Japan Academy. Series A
publication date: 1984-01-01T00:00:00Z
review text: The main result is stated as follows: Let X be a Banach space with a uniformly convex conjugate space \(X^*\). Then X possesses the Banach-Saks property. After we have proved the above theorem, we find the following result due to \textit{P. Enflo} [J. Math. 13(1972), 281-288 (1973; Zbl 0259.46012)]. For a Banach space X with a conjugate space \(X^*\), X is uniformly convexifiable if and only if \(X^*\) is uniformly convexifiable.
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B10
zbMATH DE Number: 3967071
zbMATH Keywords: Banach space with a uniformly convex conjugate space
zbMATH Keywords: Banach-Saks property
MaRDI profile type: Publication
full work available at URL: pjaa.60.246
OpenAlex ID: W1987086517
cites work: Q4092518
cites work: Banach spaces which can be given an equivalent uniformly convex norm
cites work: Q5771476
cites work: Nonlinear semigroups and evolution equations
DOI: 10.3792/PJAA.60.246
description: scientific article; zbMATH DE number 3967071