The Schur l1 Theorem for filters
Functional Analysis
2009-03-05 v1 General Topology
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.
Keywords
Cite
@article{arxiv.0903.0659,
title = {The Schur l1 Theorem for filters},
author = {Antonio Avilés and Bernardo Cascales and Vladimir Kadets and Alexander Leonov},
journal= {arXiv preprint arXiv:0903.0659},
year = {2009}
}