[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2019.32.2.195

APPROXIMATE LINEAR MAPPING OF DERIVATION-TYPE ON BANACH ∗-ALGEBRA

Chang, Ick-Soon (Department of Mathematics, Chungnam National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.32, no.2, 2019 , pp. 195-205 More about this Journal

Abstract

We consider additive mappings similar to derivations on Banach ${\ast}$ -algebras and we will first study the conditions for such additive mappings on Banach ${\ast}$ -algebras. Then we prove some theorems concerning approximate linear mappings of derivation-type on Banach ${\ast}$ -algebras. As an application, approximate linear mappings of derivation-type on $C^{\ast}$ -algebra are characterized.

Keywords

functional inequality; addtive mapping; Banach ${\ast}$ -algebra; stability;

Citations & Related Records

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