Isomorphisms and Derivations in Lie <mml:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math>-Algebras

Park, Choonkil; An, Jong Su; Cui, Jianlian

doi:https://doi.org/10.1155/2007/85737

Abstract and Applied Analysis

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Research Article | Open Access

Volume 2007 | Article ID 085737 | https://doi.org/10.1155/2007/85737

Isomorphisms and Derivations in Lie C*-Algebras

Choonkil Park,¹Jong Su An,²and Jianlian Cui³

Academic Editor: John Michael Rassias

Received07 May 2007

Revised10 Jul 2007

Accepted13 Jul 2007

Published14 Aug 2007

Abstract

We investigate isomorphisms between C*-algebras, Lie C*-algebras, and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras, and JC*-algebras associated with the Cauchy–Jensen functional equation 2f((x+y/2)+z)=f(x)+f(y)+2f(z).

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Copyright

Copyright © 2007 Choonkil Park et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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