Superstability of derivations on Banach ∗-algebras

Advances in Difference Equations

Sun Young Jang¹ 

[1] Department of Mathematics, University of Ulsan, Ulsan, Korea

关键词: derivation;    quadratic derivation;    superstability;    fixed point theorem;    46S40;    39B52;    47H10;    39B62;    26E50;    47S40;   

DOI  :  10.1186/s13662-017-1245-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we show that approximate derivations on Banach ∗-algebras are exactly derivations and also show that approximate quadratic ∗-derivations on Banach ∗-algebras are exactly quadratic ∗-derivations by the fixed point theorem.

【 授权许可】

CC BY