Hyers--Ulam--Rassias stability of derivations in proper Jordan
$CQ^{*}$-algebras doi:10.3934/dcds.2011.31.1469
Golamreza Zamani Eskandani - Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran (email) 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.
Keywords: Hyers-Ulam-Rassias stability, proper Jordan
$CQ^{*}$-algebra, Jordan derivations.
Received: October 2009; Revised: February 2010; Published: September 2011. |
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