Almost Generalized Derivation on Banach Algebras

Jae-Hyeong Bae, Ick-Soon Chang () and Hark-Mahn Kim
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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
Hark-Mahn Kim: Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Republic of Korea

Mathematics, 2022, vol. 10, issue 24, 1-8

Abstract: We take into consideration generalized derivations. First, we study the stability of generalized derivations on Banach algebras under consideration. Then we prove some theorems involving approximate generalized derivations on Banach algebras. These results can be applied to C * -algebras.

Keywords: Banach algebra; C*-algebra; generalized derivation; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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