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arxiv: 0903.0659 · v1 · submitted 2009-03-03 · 🧮 math.FA · math.GN

The Schur l1 Theorem for filters

Antonio Avil\'es , Bernardo Cascales , Vladimir Kadets , Alexander Leonov This is my paper
classification 🧮 math.FA math.GN
keywords filterstheoremweakanalogueclassescoincidecompletenessconvergence
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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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