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ARENS REGULARITY OF THE ALGEBRA OF OPERATORS ON A BANACH SPACE

Published online by Cambridge University Press:  14 June 2004

MATTHEW DAWS
MATTHEW DAWS
Affiliation:
School of Mathematics, University of Leeds, Leeds, LS2 9JT matt.daws@cantab.net
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Abstract

A short proof is given that if $E$ is a super-reflexive Banach space, then $\mc B(E)$, the Banach algebra of operators on $E$ with composition product, is Arens regular. Some remarks are made on necessary conditions on $E$ for $\mc B(E)$ to be Arens regular.

Keywords

47L10 (primary)46H05 (secondary)

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Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 4 , July 2004 , pp. 493 - 503
Copyright
© The London Mathematical Society 2004

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