\(CQ^*\)-algebras: Structure properties
type: Item
instance of: scholarly article
title: \(CQ^*\)-algebras: Structure properties
zbMATH Open document ID: 0858.46039
author: Fabio Bagarello
author: Camillo Trapani
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1996-10-31T00:00:00Z
review text: Summary: Some structure properties of \(CQ^*\)-algebras are investigated. The usual multiplication of a quasi \(^*\)-algebra is generalized by introducing a weak- and strong-product. The \(^*\)-semisimplicity is defined via a suitable family of positive sesquilinear forms and some consequences of this notion are derived. The basic elements of a functional calculus on these partial algebraic structures are discussed.
Mathematics Subject Classification ID: 46H25
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 927931
zbMATH Keywords: structure properties
zbMATH Keywords: \(CQ^*\)-algebras
zbMATH Keywords: quasi \(^*\)-algebra
zbMATH Keywords: weak- and strong-product
zbMATH Keywords: \(^*\)-semisimplicity
zbMATH Keywords: functional calculus
zbMATH Keywords: partial algebraic structures
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195163181
OpenAlex ID: W2154436182
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DOI: 10.2977/PRIMS/1195163181
description: scientific article; zbMATH DE number 927931