On the stability of ∗-derivations on Banach ∗-algebras

Advances in Difference Equations

Abasalt Bodaghi¹  Choonkil Park² 

[1] Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran;Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, Korea

关键词: ∗-derivation;    Banach ∗-algebra;    Jordan ∗-derivation;    stability;    superstability;   

DOI  :  10.1186/1687-1847-2012-138

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the current paper, we study the stability and the superstability of ∗-derivations associated with the Cauchy functional equation and the Jensen functional equation. We also prove the stability and the superstability of Jordan ∗-derivations on Banach ∗-algebras. MSC:39B52, 47B47, 39B72, 47H10, 46H25.

【 授权许可】

CC BY