\(C^*\)-algebras that are \(I\)-rings
type: Item
instance of: scholarly article
title: \(C^*\)-algebras that are \(I\)-rings
zbMATH Open document ID: 0902.46029
author: Manuel D. Contreras
author: Wend Werner
author: Rafael Payá
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-12-09T00:00:00Z
review text: A ring is called an \(I\)-ring, if and only if each non-nil right ideal contains an idempotent. The authors provide several geometric characterizations of \(C^*\)-algebras which are \(I\)-rings. For instance, a \(C^*\)-algebra is an \(I\)-ring if and only if its norm is strongly subdifferentiable on a dense subset.
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 902497
zbMATH Keywords: \(I\)-ring
zbMATH Keywords: non-nil right ideal
zbMATH Keywords: idempotent
zbMATH Keywords: geometric characterizations of \(C^*\)-algebras
zbMATH Keywords: norm
zbMATH Keywords: strongly subdifferentiable
reviewed by: Khristo N. Boyadzhiev
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0078
OpenAlex ID: W2009108763
DOI: 10.1006/JMAA.1996.0078
description: scientific article; zbMATH DE number 902497