[Banach] Abstract of a paper by Antonio Aviles, Bernardo Cascales, Vladimir Kadets, and Alexander Leonov

This is an announcement for the paper "The Schur l1 Theorem for filters" by Antonio Aviles, Bernardo Cascales, Vladimir Kadets, and Alexander Leonov.

Abstract: We study the classes of filters F on N such that the weak and strong F-convergence of sequences in l1 coincide. We study also an analogue of l1 weak sequential completeness theorem for filter convergence.

Archive classification: math.FA math.GN

Citation: Journal of Mathematical Physics, Analysis, Geometry: 2007, v. 3,

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/0903.0659

or

http://arXiv.org/abs/0903.0659

or by email in unzipped form by transmitting an empty message with subject line

uget 0903.0659

or in gzipped form by using subject line

get 0903.0659

to: math@arXiv.org.