A simple characterization of commutative H*-algebras

Commutative H*-algebras are characterized without postulating the existence of Hilbert space structure.

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Main Author: Parfeny P. Saworotnow
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171299228852
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author Parfeny P. Saworotnow
author_facet Parfeny P. Saworotnow
author_sort Parfeny P. Saworotnow
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description Commutative H*-algebras are characterized without postulating the existence of Hilbert space structure.
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institution Kabale University
issn 0161-1712
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language English
publishDate 1999-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-3c578f49702849d0a3548cee06fddd3b2025-08-20T03:55:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122488588810.1155/S0161171299228852A simple characterization of commutative H*-algebrasParfeny P. Saworotnow0Department of Mathematics, The Catholic University of America, Washington 20064, DC, USACommutative H*-algebras are characterized without postulating the existence of Hilbert space structure.http://dx.doi.org/10.1155/S0161171299228852H*-algebracommutative H*-algebramaximal regular idealsmultiplicative linear functionalsGelfand transformcompletely symmetric algebra.
spellingShingle Parfeny P. Saworotnow
A simple characterization of commutative H*-algebras
International Journal of Mathematics and Mathematical Sciences
H*-algebra
commutative H*-algebra
maximal regular ideals
multiplicative linear functionals
Gelfand transform
completely symmetric algebra.
title A simple characterization of commutative H*-algebras
title_full A simple characterization of commutative H*-algebras
title_fullStr A simple characterization of commutative H*-algebras
title_full_unstemmed A simple characterization of commutative H*-algebras
title_short A simple characterization of commutative H*-algebras
title_sort simple characterization of commutative h algebras
topic H*-algebra
commutative H*-algebra
maximal regular ideals
multiplicative linear functionals
Gelfand transform
completely symmetric algebra.
url http://dx.doi.org/10.1155/S0161171299228852
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