Quantitative Dunford-Pettis property
Functional Analysis
2013-02-27 v2
Abstract
We investigate possible quantifications of the Dunford-Pettis property. We show, in particular, that the Dunford-Pettis property is automatically quantitative in a sense. Further, there are two incomparable mutually dual stronger versions of a quantitative Dunford-Pettis property. We prove that spaces and spaces posses both of them. We also show that several natural measures of weak non-compactness are equal in spaces.
Cite
@article{arxiv.1110.1243,
title = {Quantitative Dunford-Pettis property},
author = {Miroslav Kačena and Ondřej F. K. Kalenda and Jiří Spurný},
journal= {arXiv preprint arXiv:1110.1243},
year = {2013}
}
Comments
40 pages; the paper was shortened a bit, references were updated