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Zbl 1068.47039
Park, Chun-Gil
Linear derivations on Banach algebras. (English)
[J] Nonlinear Funct. Anal. Appl. 9, No. 3, 359-368 (2004). ISSN 1229-1595

In this interesting paper, the author proves that for an almost derivation on a Banach algebra, there exists a unique linear derivation near the derivation. Some applications are also given.
[Paşc Găvruţă (Timişoara)]

MSC 2000:: *47B47 Derivations and linear operators defined by algebraic conditions
39B82 Stability, separation, extension, and related topics
47B48 Operators on Banach algebras
39B52 Functional equations for functions with more general domains
46K70 Nonassociative topological algebras with an involution
17C65 Jordan structures on Banach spaces and algebras
46L05 General theory of C*-algebras

Keywords: Hyers-Ulam stability; derivation; Banach algebras

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