**Volume 11, Issue 3, pp 335--341**

**Publication Date**: 2018-02-09

**Jae-Hyeong Bae**
- Humanitas College, Kyung Hee University, Yongin 17104, Republic of Korea

**Ick-Soon Chang**
- Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Republic of Korea

We take into account some additive mappings in Banach \(\ast\)-algebras with derivations. We will first study the conditions for additive mappings with derivations on Banach \(\ast\)-algebras. Then we prove some theorems involving linear mappings on Banach $\ast$-algebras with derivations. So derivations on \(C^{\ast}\)-algebra are characterized.

Banach \(\ast\)-algebra, \(C^{\ast}\)-algebra, additive mapping with involution, derivation

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