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).
| Item Type: | Article |
|---|---|
| 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 |
| Last Modified: | 14 Oct 2011 06:48 |
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