Ball remotal subspaces of Banach spaces

Bandyopadhyay, Pradipta ; Lin, Bor-Luh ; Rao, T. S. S. R. K. (2009) Ball remotal subspaces of Banach spaces Colloquium Mathematicum, 114 (1). pp. 119-133. ISSN 0010-1354

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Official URL: http://journals.impan.gov.pl/cm/Inf/114-1-10.html

Related URL: http://dx.doi.org/10.4064/cm114-1-10

Abstract

We study Banach spaces X with subspaces Y whose unit ball is densely remotal in X. We show that for several classes of Banach spaces, the unit ball of the space of compact operators is densely remotal in the space of bounded operators. We also show that for several classical Banach spaces, the unit ball is densely remotal in the duals of higher even order. We show that for a separable remotal set E ⊆ X, the set of Bochner integrable functions with values in E is a remotal set in L1 (μ, X).

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Source:Copyright of this article belongs to Institute of Mathematics of the Polish Academy of Sciences.
ID Code:64765
Deposited On:14 Oct 2011 06:48
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