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Zbl 0811.46045
Murphy, Gerard J.
Aspects of the theory of derivations. (English)
[A] Zemánek, Jaroslav (ed.), Functional analysis and operator theory. Proceedings of the 39th semester at the Stefan Banach International Mathematical Center in Warsaw, Poland, held March 2-May 30, 1992. Warsaw: Polish Academy of Sciences, Banach Cent. Publ. 30, 267-275 (1994).

Summary: We survey some old and new results in the theory of derivations on Banach algebras. Although our overview is broad ranging, our principal interest is in recent results concerning conditions on a derivation implying that its range is contained in the radical of the algebra.

MSC 2000:: *46H05 General theory of topological algebras
46H70 Nonassociative topological algebras
46J99 Commutative Banach algebras and commutative topological algebras
47B47 Derivations and linear operators defined by algebraic conditions

Keywords: derivations on Banach algebras; range; radical

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