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Approximate C*-ternary ring homomorphisms

Authors:

Mohammad Sal Moslehian

Affiliation:

(1) Department of Mathematics, Ferdowsi University, P.O. Box 1159, Mashhad, 91775, IRAN;(2) Banach Mathematical Research Group (BMRG), Mashhad, IRAN;(3) Centre of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University, IRAN

Abstract:

In this paper, we establish the generalized Hyers–Ulam–Rassias stability of C*-ternary ring homomorphisms associated to the Trif functional equation

$d cdot C^{{l - 2}}_{{d - 2}} f{left( {frac{{x_{1} + cdots + x_{d} }} {d}} right)} + C^{{l - 2}}_{{d - 2}} {sumlimits_{j = 1}^d {f{left( {x_{j} } right)} = l cdot {sumlimits_{1 leqslant j_{1} < cdots < j_{l} leqslant d} {f{left( {frac{{x_{{j_{1} }} + cdots + x_{{j_{l} }} }} {l}} right)}.} }} }$

Keywords:

KeywordHeading" >: generalized Hyers-Ulam-Rassias stability C*-ternary ring C*-ternary homomorphism Trif's functional equation

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