Derivations on Banach algebras

S. Hejazian and S. Talebi

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-4

Abstract:

Let D be a derivation on a Banach algebra; by using the operator D 2 , we give necessary and sufficient conditions for the separating ideal of D to be nilpotent. We also introduce an ideal M ( D ) and apply it to find out more equivalent conditions for the continuity of D and for nilpotency of its separating ideal.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:504072

DOI: 10.1155/S0161171203209108

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