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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| Дата: | 2007 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/7614 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862749446915227648 |
|---|---|
| author | Lopez, A. Aviles Salinas, B. Cascales Kadets, V. Leonov, A. |
| author_facet | Lopez, A. Aviles Salinas, B. Cascales Kadets, V. Leonov, A. |
| 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. |
| collection | DSpace DC |
| 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.
|
| first_indexed | 2025-12-07T21:00:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-7614 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T21:00:15Z |
| publishDate | 2007 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | The Schur ℓ₁ Theorem for Filters Lopez, A. Aviles Salinas, B. Cascales Kadets, V. Leonov, A. |
| title | 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_short | The Schur ℓ₁ Theorem for Filters |
| title_sort | schur ℓ₁ theorem for filters |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/7614 |
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