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Journal of the London Mathematical Society 2002 66(3):721-740; doi:10.1112/S0024610702003642
© 2002 by London Mathematical Society
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© The London Mathematical Society

Weak Amenability of A(E) and the Geometry of E

A. Blanco

Department of Mathematics, Australian National University ACT 0200, Australia

Received 6 August 2001.

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.

Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT


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