Locally convex quasi \(^*\)-algebras with sufficiently many \(^*\)-representations
type: Item
instance of: scholarly article
title: Locally convex quasi \(^*\)-algebras with sufficiently many \(^*\)-representations
zbMATH Open document ID: 1257.47073
author: Camillo Trapani
author: Salvatore Triolo
author: M. Fragoulopoulou
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-02-27T00:00:00Z
review text: The aim of the authors in this paper is to obtain conditions under which a locally convex quasi \(^*\)-algebra has sufficiently many continuous \(^*\)-representations in an algebra of unbounded operators acting on a Hilbert space to separate its points. They present such conditions which are related to positivity. The results lead to the study of so-called fully representable locally convex quasi \(^*\)-algebras. The authors give several examples of such algebras and study their structure in which the concept of order bounded elements plays a crucial role.
reviewed by: Lajos Molnár
Mathematics Subject Classification ID: 47L60
Mathematics Subject Classification ID: 46H35
zbMATH DE Number: 6009627
zbMATH Keywords: quasi \(^*\)-algebra
zbMATH Keywords: representable linear functional
zbMATH Keywords: fully representable quasi \(^*\)-algebra
zbMATH Keywords: bounded element
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.11.013
OpenAlex ID: W2050532552
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DOI: 10.1016/J.JMAA.2011.11.013
description: scientific article; zbMATH DE number 6009627