The Schur l1 Theorem for filters

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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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Functional Analysis, General Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/222241

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.0659
 http://arxiv.org/abs/0903.0659
 Journal of Mathematical Physics, Analysis, Geometry: 2007, v. 3, No 4, p. 383-398

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arXiv