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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| Date: | 2006 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/106675 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |