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arXiv:1608.05986 [math.FA]AbstractReferencesReviewsResources

More on the Arens regularity of B(X)

Ramin Faal, Hamid Reza Ebrahimi Vishki

Published 2016-08-21Version 1

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 .

Comments: 7 pages, Bull. Aust. Math. Soc (2016)
Categories: math.FA, math.OA
Subjects: 47L10, 47L50, 46H25
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