Imbedding of the images of operators and reflexivity of Banach spaces

We establish a criterion of reflexivity for a separable Banach space in terms of the relation between the imbedding of the images, factorization, and majorization of operators acting in this space.

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Datum:1999
Hauptverfasser: Vershinin, R. V., Вершинин, Р. В.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1999
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4606
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We establish a criterion of reflexivity for a separable Banach space in terms of the relation between the imbedding of the images, factorization, and majorization of operators acting in this space.