Some Centrally Extended Derivations on Banach Algebras

Ick-Soon Chang and Jaiok Roh ()
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Ick-Soon Chang: Department of Mathematics, Chungnam National University, Daejeon 34134, Republic of Korea
Jaiok Roh: Ilsong Liberal Art Schools (Mathematics), Hallym University, Chuncheon 24252, Republic of Korea

Mathematics, 2025, vol. 13, issue 14, 1-11

Abstract: In this article, we consider centrally extended derivations on Banach algebras. We first establish the stability of centrally extended derivations on Banach algebras. Then, we prove that under some conditions, approximate centrally extended derivations on Banach algebras are linear CE derivations.

Keywords: Banach algebra; CE derivation; derivation; stability; superstability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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