Narrow Operators on Bochner L₁-Spaces
Narrow operators on L₁(μ;X)-spaces are studied. We present a sufficient criterion for such an operator to be narrow that resembles the characterization on narrow operators on L₁(μ) and show that the criterion is necessary for certain X, e.g., for spaces with the RNP.
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Datum: | 2006 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106675 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Narrow Operators on Bochner L₁-Spaces / K. Boyko, V. Kadets, D. Werner // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 358-371. — Бібліогр.: 10 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862732503024926720 |
|---|---|
| author | Boyko, K. Kadets, V. Werner, D. |
| author_facet | Boyko, K. Kadets, V. Werner, D. |
| citation_txt | Narrow Operators on Bochner L₁-Spaces / K. Boyko, V. Kadets, D. Werner // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 358-371. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | Narrow operators on L₁(μ;X)-spaces are studied. We present a sufficient criterion for such an operator to be narrow that resembles the characterization on narrow operators on L₁(μ) and show that the criterion is necessary for certain X, e.g., for spaces with the RNP.
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| first_indexed | 2025-12-07T19:32:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106675 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T19:32:27Z |
| publishDate | 2006 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Boyko, K. Kadets, V. Werner, D. 2016-10-02T18:28:18Z 2016-10-02T18:28:18Z 2006 Narrow Operators on Bochner L₁-Spaces / K. Boyko, V. Kadets, D. Werner // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 358-371. — Бібліогр.: 10 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106675 Narrow operators on L₁(μ;X)-spaces are studied. We present a sufficient criterion for such an operator to be narrow that resembles the characterization on narrow operators on L₁(μ) and show that the criterion is necessary for certain X, e.g., for spaces with the RNP. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Narrow Operators on Bochner L₁-Spaces Article published earlier |
| spellingShingle | Narrow Operators on Bochner L₁-Spaces Boyko, K. Kadets, V. Werner, D. |
| title | Narrow Operators on Bochner L₁-Spaces |
| title_full | Narrow Operators on Bochner L₁-Spaces |
| title_fullStr | Narrow Operators on Bochner L₁-Spaces |
| title_full_unstemmed | Narrow Operators on Bochner L₁-Spaces |
| title_short | Narrow Operators on Bochner L₁-Spaces |
| title_sort | narrow operators on bochner l₁-spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106675 |
| work_keys_str_mv | AT boykok narrowoperatorsonbochnerl1spaces AT kadetsv narrowoperatorsonbochnerl1spaces AT wernerd narrowoperatorsonbochnerl1spaces |