The Schur l1 Theorem for filters

Details The Schur l1 Theorem for filters The Schur l1 Theorem for filters

2009-03-03

arxiv.org/abs/0903.0659v1

Journal of Mathematical Physics, Analysis, Geometry: 2007, v. 3, No 4, p. 383-398

Mathematics

Functional Analysis

Scientific paper

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.

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