## Taiwanese Journal of Mathematics

### STABILITY OF $n$-JORDAN $*$-DERIVATIONS IN $C^{*}$-ALGEBRAS AND $JC^{*}$-ALGEBRAS

#### 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 $$r f(\frac{a+b}{r}) + r f(\frac{a-b}{r}) = 2 f(a).$$

#### Article information

Source
Taiwanese J. Math., Volume 16, Number 5 (2012), 1791-1802.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500406797

Digital Object Identifier
doi:10.11650/twjm/1500406797

Mathematical Reviews number (MathSciNet)
MR2970685

Zentralblatt MATH identifier
1267.39023

#### Citation

Ghaleh, Shahram Ghaffary; Ghasemi, Khatereh. STABILITY OF $n$-JORDAN $*$-DERIVATIONS IN $C^{*}$-ALGEBRAS AND $JC^{*}$-ALGEBRAS. Taiwanese J. Math. 16 (2012), no. 5, 1791--1802. doi:10.11650/twjm/1500406797. https://projecteuclid.org/euclid.twjm/1500406797

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