Krein \(H^*\)-triple systems
type: Item
instance of: scholarly article
title: Krein \(H^*\)-triple systems
zbMATH Open document ID: 1046.46038
author: P. S. Rema
author: S. Sribala
author: N. Vijayarangan
published in: Southeast Asian Bulletin of Mathematics
publication date: 2002-12-01T00:00:00Z
review text: The authors study Krein \(H^*\)-triples systems. They introduce the \(J\)-norm, ideals and tripotents to show, e.g., that the triple product is norm continuous. Semisimple Krein \(H^*\)-triple systems are shown to be an orthogonal direct sum of simple such systems. Separable Krein \(H^*\)-triple systems are discussed. The paper provides a reasonable amount of examples of non-trivial triple systems.
Mathematics Subject Classification ID: 46H70
Mathematics Subject Classification ID: 17C65
Mathematics Subject Classification ID: 46C20
zbMATH DE Number: 1836977
zbMATH Keywords: Krein space
zbMATH Keywords: triple systems
zbMATH Keywords: indefinite inner product spaces
reviewed by: Bertfried Fauser
MaRDI profile type: Publication
full work available at URL: s100120200013
OpenAlex ID: W2078843493
DOI: 10.1007/S100120200013
description: scientific article; zbMATH DE number 1836977