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The approximation property and nilpotent ideals in amenable Banach algebras

Published online by Cambridge University Press:  17 April 2009

R.J. Loy  and
G.A. Willis
R.J. Loy
Affiliation:
Department of MathematicsSchool of Mathematical Sciences Australian National UniversityAustralian Capital Territory 0200
G.A. Willis
Affiliation:
Department of MathematicsThe University of NewcastleNew South Wales 2308, Australia
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It is well known that non-zero nilpotent ideals in amenable Banach algebras must be infinite-dimensional. We show that under certain additional hypotheses such ideals cannot even have the approximation property.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 2 , April 1994 , pp. 341 - 346
Copyright
Copyright © Australian Mathematical Society 1994

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