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The Schur ℓ₁ Theorem for Filters

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 lter convergence.

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Bibliographic Details
Date:2007
Main Authors: Lopez, A. Aviles, Salinas, B. Cascales, Kadets, V., Leonov, A.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/7614
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Schur ℓ₁ Theorem for Filters / A. Aviles Lopez, B. Cascales Salinas, V. Kadets, A. Leonov // Журн. мат. физики, анализа, геометрии. — 2007. — Т. 3, № 4. — С. 383-398. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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