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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| Date: | 2007 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2007
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| 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| id |
nasplib_isofts_kiev_ua-123456789-7614 |
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Lopez, A. Aviles Salinas, B. Cascales Kadets, V. Leonov, A. 2010-04-06T09:34:17Z 2010-04-06T09:34:17Z 2007 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. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/7614 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. The work of the third Author was supported by the Seneca Foundation, Murcia. Grant No. 02122/IV2/05. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України The Schur ℓ₁ Theorem for Filters Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The Schur ℓ₁ Theorem for Filters |
| spellingShingle |
The Schur ℓ₁ Theorem for Filters Lopez, A. Aviles Salinas, B. Cascales Kadets, V. Leonov, A. |
| title_short |
The Schur ℓ₁ Theorem for Filters |
| title_full |
The Schur ℓ₁ Theorem for Filters |
| title_fullStr |
The Schur ℓ₁ Theorem for Filters |
| title_full_unstemmed |
The Schur ℓ₁ Theorem for Filters |
| title_sort |
schur ℓ₁ theorem for filters |
| author |
Lopez, A. Aviles Salinas, B. Cascales Kadets, V. Leonov, A. |
| author_facet |
Lopez, A. Aviles Salinas, B. Cascales Kadets, V. Leonov, A. |
| publishDate |
2007 |
| language |
English |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
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.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/7614 |
| citation_txt |
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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2025-12-07T21:00:15Z |
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