ZemĂˇnek, 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:

46H05 | General theory of topological algebras |

46H70 | Nonassociative topological algebras |

46J99 | Commutative Banach algebras; commutative topological algebras |

47B47 | Commutators, derivations, elementary operators, etc. |