Stability and hyperstability of orthogonally ring $*$-$n$-derivations and orthogonally ring $*$-$n$-homomorphisms on $C^*$-algebras

Subject Areas : Difference and functional equations

R. Gholami ¹ , Gh. Askari ² , M. Eshaghi Gordji ³

1 - Department of Mathematics, Islamic Azad University Dehloran Branch, Dehloran, Iran
2 - Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran
3 - Department of Mathematics, Semnan University, P.O.Box 35195-363, Semnan, Iran

Received: 2018-02-12 Accepted : 2018-04-22 Published : 2018-06-01

Keywords: Stability and hyperstability, ring $*$-$n$-derivation, ring $*$-$n$-homomorphism, $C^*$-algebras,

Abstract :

In this paper, we investigate the generalized Hyers-Ulam-Rassias and the Isac and Rassias-type stability of the conditional of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras. As a consequence of this, we prove the hyperstability of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras.

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