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Journal of the London Mathematical Society 2002 66(3):710-720; doi:10.1112/S0024610702003721
© 2002 by London Mathematical Society
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© The London Mathematical Society

The Noncommutative Singer–Wermer Conjecture and {phi}-Derivations

M. Bresar and A. R. Villena

Department of Mathematics, University of Maribor PF, Koroska 160, Slovenia, bresar{at}uni-mb.si
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada 18071 Granada, Spain, avillena{at}ugr.es

Received 23 May 2001. Revision received 1 March 2002.

The question of when a {phi}-derivation on a Banach algebra has quasinilpotent values, and how this question is related to the noncommutative Singer–Wermer conjecture, is discussed.


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