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2012 STABILITY OF $n$-JORDAN $*$-DERIVATIONS IN $C^{*}$-ALGEBRAS AND $JC^{*}$-ALGEBRAS
Shahram Ghaffary Ghaleh, Khatereh Ghasemi
Taiwanese J. Math. 16(5): 1791-1802 (2012). DOI: 10.11650/twjm/1500406797

Abstract

In this paper, we investigate superstability and the Hyers-Ulam stability of $n$-Jordan $*$-derivations in $C^{*}$-algebras and $JC^{*}$-algebras for the generalized Jensen-type functional equation $$r f(\frac{a+b}{r}) + r f(\frac{a-b}{r}) = 2 f(a).$$

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Shahram Ghaffary Ghaleh. Khatereh Ghasemi. "STABILITY OF $n$-JORDAN $*$-DERIVATIONS IN $C^{*}$-ALGEBRAS AND $JC^{*}$-ALGEBRAS." Taiwanese J. Math. 16 (5) 1791 - 1802, 2012. https://doi.org/10.11650/twjm/1500406797

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1267.39023
MathSciNet: MR2970685
Digital Object Identifier: 10.11650/twjm/1500406797

Subjects:
Primary: 17C65 , 39B52‎ , 39B72 , 46L05

Keywords: $C^{*}$-algebra , $JC^{*}$-algebra , $n$-Jordan $*$-derivation , Hyers-Ulam stability

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 5 • 2012
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