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AMENABILITY AND IDEAL STRUCTURE OF SOME BANACH SEQUENCE ALGEBRAS
Published online by Cambridge University Press: 25 September 2003
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.
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- The London Mathematical Society 2003
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