This is an announcement for the paper "On a difference between quantitative weak sequential completeness and the quantitative Schur property" by Ondrej F.K. Kalenda and Jiri Spurny.
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 $\ell_1$ 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.
Archive classification: math.FA
Mathematics Subject Classification: 46B20, 46B25
Remarks: 7 pages
Submitted from: kalenda@karlin.mff.cuni.cz
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1103.2975
or