Hyers--Ulam--Rassias stability of derivations in proper Jordan$CQ^{*}$-algebras

Golamreza Zamani Eskandani; Hamid Vaezi

doi:10.3934/dcds.2011.31.1469

Article Contents

2011, Volume 31, Issue 4: 1469-1477. Doi: 10.3934/dcds.2011.31.1469

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Hyers--Ulam--Rassias stability of derivations in proper Jordan $CQ^{*}$-algebras

Golamreza Zamani Eskandani^1, and
Hamid Vaezi^1,

1.
Faculty of Mathematical Sciences, University of Tabriz, Tabriz

Received: September 30, 2009

Revised: January 31, 2010

Published: September 2011

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Abstract

In this paper, we investigate derivation in proper Jordan $CQ^{*}$-algebras associated with the following Pexiderized Jensen type functional equation \[kf(\frac{x+y}{k}) = f_{0}(x)+ f_{1} (y).\] This is applied to investigate derivations and their Hyers--Ulam--Rassias stability in proper Jordan $CQ^{*}$-algebras.

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Mathematics Subject Classification: 17B40, 39B52, 47N50, 47L60, 46B03.

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