Local facial structure and norm-exposed faces of the unit ball in a \(\mathrm{JB}^\ast\)-triple
type: Item
instance of: scholarly article
title: Local facial structure and norm-exposed faces of the unit ball in a \(\mathrm{JB}^\ast\)-triple
zbMATH Open document ID: 1368.46012
author: Lina Oliveira
author: C. M. Edwards
published in: Journal of Mathematical Analysis and Applications
publication date: 2014-09-23T00:00:00Z
review text: This paper deals with the study of the facial structure of (complex) JB\(^*\)-triples and to its ``local'' version: the facial structure of the image of the space by the second Peirce projection associated to a compact tripotent of the bidual space. A description of the local facial structure corresponding to compact tripotents of the bidual is given. Also, criteria for norm-closed faces of the unit ball in a JB\(^*\)-triple to be norm-exposed are given.
reviewed by: Miguel Martín
Mathematics Subject Classification ID: 46B04
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46L70
zbMATH DE Number: 6347093
zbMATH Keywords: JB\(^*\)-triple
zbMATH Keywords: norm-exposed face
zbMATH Keywords: tripotent
MaRDI profile type: Publication
full work available at URL: j.jmaa.2014.07.073
OpenAlex ID: W2078502776
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DOI: 10.1016/J.JMAA.2014.07.073
description: scientific article; zbMATH DE number 6347093