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Aspects of the theory of derivations. (English) Zbl 0811.46045
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:
46H05General theory of topological algebras
46H70Nonassociative topological algebras
46J99Commutative Banach algebras; commutative topological algebras
47B47Commutators, derivations, elementary operators, etc.