More on the Arens regularity of B(X)
Functional Analysis
2019-02-20 v1 Operator Algebras
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 .
Cite
@article{arxiv.1608.05986,
title = {More on the Arens regularity of B(X)},
author = {Ramin Faal and Hamid Reza Ebrahimi Vishki},
journal= {arXiv preprint arXiv:1608.05986},
year = {2019}
}
Comments
7 pages, Bull. Aust. Math. Soc (2016)