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2008 Jordan -Derivations on C -Algebras and J C -Algebras
Jong Su An, Jianlian Cui, Choonkil Park
Abstr. Appl. Anal. 2008: 1-12 (2008). DOI: 10.1155/2008/410437

Abstract

We investigate Jordan -derivations on C -algebras and Jordan -derivations on J C -algebras associated with the following functional inequality f ( x ) + f ( y ) + k f ( z ) k f ( ( x + y ) / k + z ) for some integer k greater than 1. We moreover prove the generalized Hyers-Ulam stability of Jordan -derivations on C -algebras and of Jordan -derivations on J C -algebras associated with the following functional equation f ( ( x + y ) / k + z ) = ( f ( x ) + f ( y ) ) / k + f ( z ) for some integer k greater than 1.

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Jong Su An. Jianlian Cui. Choonkil Park. "Jordan -Derivations on C -Algebras and J C -Algebras." Abstr. Appl. Anal. 2008 1 - 12, 2008. https://doi.org/10.1155/2008/410437

Information

Published: 2008
First available in Project Euclid: 10 February 2009

zbMATH: 1243.46046
MathSciNet: MR2471252
Digital Object Identifier: 10.1155/2008/410437

Rights: Copyright © 2008 Hindawi

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