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46h05 (secondary)

Bulletin of the London Mathematical Society (1)

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ARENS REGULARITY OF THE ALGEBRA OF OPERATORS ON A BANACH SPACE
MATTHEW DAWS
Journal:

Bulletin of the London Mathematical Society / Volume 36 / Issue 4 / July 2004

Published online by Cambridge University Press:

14 June 2004, pp. 493-503

Print publication:

July 2004
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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.