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THE NONCOMMUTATIVE SINGER–WERMER CONJECTURE AND $\phi$-DERIVATIONS

Published online by Cambridge University Press:  24 March 2003

M. BREšAR  and
A. R. VILLENA
M. BREšAR
Affiliation:
Department of Mathematics, University of Maribor, PF, Koroška 160, [email protected]
A. R. VILLENA
Affiliation:
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, [email protected]
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Abstract

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.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 66 , Issue 3 , December 2002 , pp. 710 - 720
Copyright
© The London Mathematical Society, 2002

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