Abstract
In this paper, we investigate $n$-Jordan $*$-homomorphisms in $C^{*}$-algebras associated with the following functional inequality $$\left\|f\left(\frac{b-a}{3} \right) + f\left( \frac{a-3c}{3} \right) + f\left( \frac{3a+3c-b}{3} \right)\right\|\leq \|f(a)\|.$$ We moreover prove the superstability and the Hyers-Ulam stability of $n$-Jordan $*$-homomorphisms in $C^{*}$-algebras associated with the following functional equation $$f\left( \frac{b-a}{3} \right) + f\left( \frac{a-3c}{3} \right) + f\left(\frac{3a+3c-b}{3} \right) = f(a).$$
Citation
Choonkil Park. Shahram Ghaffary Ghaleh. Khatereh Ghasemi. "$N$-JORDAN $*$-HOMOMORPHISMS IN $C^{*}$-ALGEBRAS." Taiwanese J. Math. 16 (5) 1803 - 1814, 2012. https://doi.org/10.11650/twjm/1500406798
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