A Few Conditions for a C*-Algebra to Be Commutative

We present a few characterizations of the commutativity of C*-algebras in terms of particular algebraic properties of power functions, the logarithmic and exponential functions, and the sine and cosine functions.

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Main Author: Lajos Molnár
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/705836
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author Lajos Molnár
author_facet Lajos Molnár
author_sort Lajos Molnár
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description We present a few characterizations of the commutativity of C*-algebras in terms of particular algebraic properties of power functions, the logarithmic and exponential functions, and the sine and cosine functions.
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spelling doaj-art-95dbcada9c9e457eaadb723d32404e942025-08-20T03:19:43ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/705836705836A Few Conditions for a C*-Algebra to Be CommutativeLajos Molnár0MTA-DE “Lendület” Functional Analysis Research Group, Institute of Mathematics, University of Debrecen, P.O. Box 12, Debrecen 4010, HungaryWe present a few characterizations of the commutativity of C*-algebras in terms of particular algebraic properties of power functions, the logarithmic and exponential functions, and the sine and cosine functions.http://dx.doi.org/10.1155/2014/705836
spellingShingle Lajos Molnár
A Few Conditions for a C*-Algebra to Be Commutative
Abstract and Applied Analysis
title A Few Conditions for a C*-Algebra to Be Commutative
title_full A Few Conditions for a C*-Algebra to Be Commutative
title_fullStr A Few Conditions for a C*-Algebra to Be Commutative
title_full_unstemmed A Few Conditions for a C*-Algebra to Be Commutative
title_short A Few Conditions for a C*-Algebra to Be Commutative
title_sort few conditions for a c algebra to be commutative
url http://dx.doi.org/10.1155/2014/705836
work_keys_str_mv AT lajosmolnar afewconditionsforacalgebratobecommutative
AT lajosmolnar fewconditionsforacalgebratobecommutative