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

Abstract

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

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