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arXiv · 0903.0659

The Schur l1 Theorem for filters

Antonio Avilés·Bernardo Cascales·Vladimir Kadets·Alexander Leonov
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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.

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BibTeXRIS

Antonio Avilés, Bernardo Cascales, Vladimir Kadets, Alexander Leonov. 2009-03-03. The Schur l1 Theorem for filters. https://arxiv.org/abs/0903.0659

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