Some additive mappings on Banach ${\ast}$-algebras with derivations

Bae, Jae-Hyeong ¹ ; Chang, Ick-Soon ²

¹ Humanitas College, Kyung Hee University, Yongin 17104, Republic of Korea
² Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Republic of Korea

Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 3, p. 335-341.

Résumé

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.

Détail

DOI : 10.22436/jnsa.011.03.02

Classification : 16N60, 16W80, 39B72, 39B82, 46H40, 46L57
Keywords: Banach \(\ast\)-algebra, \(C^{\ast}\)-algebra, additive mapping with involution, derivation

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