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Linear derivations on Banach algebras. (English) Zbl 1068.47039
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.
MSC:
47B47Commutators, derivations, elementary operators, etc.
39B82Stability, separation, extension, and related topics
47B48Operators on Banach algebras
39B52Functional equations for functions with more general domains and/or ranges
46K70Nonassociative topological algebras with an involution
17C65Jordan structures on Banach spaces and algebras
46L05General theory of C * -algebras