JORDAN *-HOMOMORPHISMS BETWEEN UNITAL C*-ALGEBRAS

Title & Authors
JORDAN *-HOMOMORPHISMS BETWEEN UNITAL C*-ALGEBRAS

Abstract
In this paper, we prove the superstability and the generalized Hyers-Ulam stability of Jordan *-homomorphisms between unital $\small{C^*}$-algebras associated with the following functional equation$\small{f(\frac{-x+y}{3})+f(\frac{x-3z}{c})+f(\frac{3x-y+3z}{3})=f(x)}$. Morever, we investigate Jordan *-homomorphisms between unital $\small{C^*}$-algebras associated with the following functional inequality $\small{{\parallel}f(\frac{-x+y}{3})+f(\frac{x-3z}{3})+f(\frac{3x-y+3z}{3}){\parallel}\leq{\parallel}f(x)\parallel}$.
Keywords
Jordan *-homomorphism;$\small{C^*}$-algebra;generalized Hyers-Ulam stability;functional equation and inequality;
Language
English
Cited by
1.
HYERS-ULAM STABILITY OF MAPPINGS FROM A RING A INTO AN A-BIMODULE,;

대한수학회논문집, 2013. vol.28. 4, pp.767-782
1.
HYERS-ULAM STABILITY OF MAPPINGS FROM A RING A INTO AN A-BIMODULE, Communications of the Korean Mathematical Society, 2013, 28, 4, 767
2.
Hyers–Ulam stability of a functional equation with several parameters, Afrika Matematika, 2016, 27, 7-8, 1199
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