Classification of sequentially weakly continuous \(JB^*\)-triples
type: Item
instance of: scholarly article
title: Classification of sequentially weakly continuous \(JB^*\)-triples
zbMATH Open document ID: 0973.46059
published in: Mathematische Zeitschrift
publication date: 2001-11-20T00:00:00Z
review text: A \(JB^{\star }\)-triple \(A\) is said to be a sequentially weakly continuous if every biholomorphic automorphism of the unit ball of \(A\) is sequentially weakly continuous. The main result of this paper asserts that a \(JB^{\star }\)-triple \(A\) is sequentially weakly continuous if an only if the following conditions hold: (i) all primitive ideals of \(A\) are maximal; and (ii) the bidual \(A^{\star \star }\) is a \(JBW^{\star }\)-triple of type I without infinite spin part. Some consequences for the general structure of the \(JB^{\star }\)-triples are obtained.
reviewed by: José Antonio Cuenca Mira
Mathematics Subject Classification ID: 46L70
Mathematics Subject Classification ID: 46L10
zbMATH DE Number: 1462434
zbMATH Keywords: \(JB^{\star }\)-triples
zbMATH Keywords: biholomorphic automorphisms
zbMATH Keywords: \(JBW^{\star }\)-triple
zbMATH Keywords: Cartan factor
author: Leslie J. Bunce
author: Cho-Ho Chu
author: Borut Zalar
MaRDI profile type: Publication
full work available at URL: s002090050509
OpenAlex ID: W2071705152
DOI: 10.1007/S002090050509
description: scientific article; zbMATH DE number 1462434