On a difference between quantitative weak sequential completeness and the quantitative Schur property
Functional Analysis
2016-08-14 v2
Abstract
We study quantitative versions of the Schur property and weak sequential completeness, proceeding thus with investigations started by G. Godefroy, N. Kalton and D. Li and continued by H. Pfitzner and the authors. We show that the Schur property of holds quantitatively in the strongest possible way and construct an example of a Banach space which is quantitatively weakly sequentially complete, has the Schur property but fails the quantitative form of the Schur property.
Keywords
Cite
@article{arxiv.1103.2975,
title = {On a difference between quantitative weak sequential completeness and the quantitative Schur property},
author = {Ondřej F. K. Kalenda and Jiří Spurný},
journal= {arXiv preprint arXiv:1103.2975},
year = {2016}
}
Comments
10 pages, the paper was slightly reorganized, some more comments were added