Bulletin of the Australian Mathematical Society, ( ISI ), Volume (94), No (2), Year (2016-10) , Pages (296-303)

Title : ( (More on the Arens Regularity of B(X )

Authors: ramin faal , Hamid Reza Ebrahimi Vishki ,

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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.

Keywords

, Arens products, algebra of operators, reflexive space, superreflexive, weak operator topology,
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@article{paperid:1061525,
author = {Faal, Ramin and Ebrahimi Vishki, Hamid Reza},
title = {(More on the Arens Regularity of B(X},
journal = {Bulletin of the Australian Mathematical Society},
year = {2016},
volume = {94},
number = {2},
month = {October},
issn = {0004-9727},
pages = {296--303},
numpages = {7},
keywords = {Arens products; algebra of operators; reflexive space; superreflexive; weak operator topology; ultrapower.},
}

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%0 Journal Article
%T (More on the Arens Regularity of B(X
%A Faal, Ramin
%A Ebrahimi Vishki, Hamid Reza
%J Bulletin of the Australian Mathematical Society
%@ 0004-9727
%D 2016

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