A note on extreme points in dual spaces
type: Item
instance of: scholarly article
title: A note on extreme points in dual spaces
zbMATH Open document ID: 1263.46018
publication date: 2013-03-08T00:00:00Z
review text: Let \(X\) be a Banach space. In this short paper, the authors consider the question of when all extreme points of the unit ball of the triple dual of \(X\), when restricted to \(X\) (under the canonical embedding), are also extreme points of the dual unit ball of \(X\). They show that when \(X^\ast\) is isometric to an \(L^1(\mu)\)-space, this happens only when the extreme points of the dual unit ball are a weak\(^\ast\)-closed set.
reviewed by: T.S.S.R.K. Rao
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B04
zbMATH DE Number: 6142989
zbMATH Keywords: extreme points
zbMATH Keywords: \(L^1\)-preduals
author: Juan Francisco Mena Jurado
author: Juan Carlos Navarro-Pascual
MaRDI profile type: Publication
full work available at URL: s10114-013-1555-z
OpenAlex ID: W2047694005
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DOI: 10.1007/S10114-013-1555-Z
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 6142989