Stability of hyper homomorphisms and hyper derivations in complex Banach algebras

Sayyari, Yamin; Dehghanian, Mehdi; Park, Choonkil; Lee, Jung Rye

doi:10.3934/math.2022597

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Stability of hyper homomorphisms and hyper derivations in complex Banach algebras

Sayyari, Yamin;
Dehghanian, Mehdi;
Park, Choonkil;
Lee, Jung Rye

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21

초록

In this paper, we introduce the concept of hyper homomorphisms and hyper derivations in Banach algebras and we establish the stability of hyper homomorphisms and hyper derivations in Banach algebras for the following 3-additive functional equation: g(x(1) + x(2), y(1) + y(2),z(1) + z(2)) = Sigma(2)(i,j,k=1) g(x(i), y(j), z(k)).

키워드

Hyers-Ulam stability; 3-additive functional equation; hyper derivation; hyper homomrphism; 3-linear mapping; FUNCTIONAL-EQUATION; RASSIAS STABILITY; MAPPINGS

제목: Stability of hyper homomorphisms and hyper derivations in complex Banach algebras

저자: Sayyari, Yamin; Dehghanian, Mehdi; Park, Choonkil; Lee, Jung Rye

DOI: 10.3934/math.2022597

발행일: 2022-03

유형: Article

저널명: AIMS MATHEMATICS

권: 7

호: 6

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