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MORE ON THE ARENS REGULARITY OF $B(X)$
Published online by Cambridge University Press: 01 March 2016
Abstract
We focus on a question raised by Daws [‘Arens regularity of the algebra of operators on a Banach space’, Bull. Lond. Math. Soc.36 (2004), 493–503] concerning the Arens regularity of $B(X)$, the algebra of operators on a Banach space $X$. Among other things, we show that $B(X)$ is Arens regular if and only if $X$ is ultrareflexive.
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- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 94 , Issue 2 , October 2016 , pp. 296 - 303
- Copyright
- © 2016 Australian Mathematical Publishing Association Inc.