Symmetrization of the symbol in Banach algebras generated by idempotents
type: Item
instance of: scholarly article
title: Symmetrization of the symbol in Banach algebras generated by idempotents
zbMATH Open document ID: 0929.47040
DOI: 10.1007/BF01228103
author: N. Ya. Krupnik
published in: Integral Equations and Operator Theory
publication date: 2000-01-25T00:00:00Z
review text: It is known that a Banach algebra \(A\) generated by \(2N\) idempotents satisfying certain relations is an algebra with matrix symbol of order \(2N\), which is completely and explicitly defined via the spectra of two elements. In the case when \(A\) is a \(C^*\)-algebra, this symbol is not symmetric. The paper describes some additional conditions on the algebra \(A\) in order to define explicitly a symmetric symbol.
reviewed by: Viorel Iftimie
Mathematics Subject Classification ID: 47L15
Mathematics Subject Classification ID: 47G10
zbMATH DE Number: 1204338
zbMATH Keywords: algebra with matrix symbol
zbMATH Keywords: \(C^*\)-algebra
zbMATH Keywords: symmetric symbol
MaRDI profile type: Publication
cites work: Q4356296
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full work available at URL: https://doi.org/10.1007/bf01228103
OpenAlex ID: W2037765186
description: scientific article; zbMATH DE number 1204338