2009•Basic Sciences Journal of Textile UniversitiesRequires access

Superstability for generalized left derivations and generalized derivations on a unital Banach algebra

Cao Huai-xin

Abstract

The conceptions of generalized left derivation and generalized derivation are applied,and the superstability of generalized left derivations and generalized derivations on a unital Banach algebra are discussed.Based on these,some results of the linear properties of generalized left derivations and generalized derivations are given.The results obtained in this note generalize the related results given by S.-Y.Kang and I.-S.Chang in 2008.

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Key concepts: Unital, Mathematics, Banach algebra, Derivation, Pure mathematics, Algebra over a field, Banach space, Medicine