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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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Bibliographic Details
Published in:Журнал математической физики, анализа, геометрии
Date:2006
Main Authors: Boyko, K., Kadets, V., Werner, D.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2006
Online Access:https://nasplib.isofts.kiev.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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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