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WEAK AMENABILITY OF ${\cal A}(E)$ AND THE GEOMETRY OF $E$

Published online by Cambridge University Press:  24 March 2003

A. BLANCO
A. BLANCO
Affiliation:
Department of Mathematics, Australian National University, ACT 0200, Australia Current address: Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT
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Abstract

A geometric property is introduced, and it is proved that Banach spaces with this property must carry weakly amenable algebras of approximable operators. These results are also applied to particular examples of Banach spaces, including the James spaces and the Tsirelson space.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 66 , Issue 3 , December 2002 , pp. 721 - 740
Copyright
© The London Mathematical Society, 2002

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