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AMENABILITY AND IDEAL STRUCTURE OF SOME BANACH SEQUENCE ALGEBRAS

Published online by Cambridge University Press:  25 September 2003

KATHERINE WHITE
KATHERINE WHITE
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT
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Abstract

The cohomology groups of some sequence algebras are considered. In particular, the amenability of the James space $J_p$ is investigated; this space was first studied by R. C. James and was shown to be a Banach algebra for the pointwise product. Then a full classification of the closed ideals in $J_p$ is given, extending a result of N. J. Laustsen. Finally, some related algebras $\alp$ are considered, and it is established when these Banach algebras are amenable.

Keywords

46J20
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 444 - 460
Copyright
The London Mathematical Society 2003

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