On the Denseness of Subspaces of Analytic Vectors of a Closed Linear Operator in a Banach Space

We establish conditions for the behavior of the resolvent and the location of the spectrum of a linear closed operator A densely defined in a Banach space E under which its Gevrey spaces G (β)(A), β < 1, are dense in E.

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Bibliographic Details
Date:2000
Main Authors: Mokrousov, Yu. G., Мокроусов, Ю. Г.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2000
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4499
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal