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Operator calculus on ultrasmooth vectors

A general method of constructing functions of unbounded operators acting in Banach spaces is set forth. It is based on equipping the initial space with invariant subspaces of ultradifferential vectors of a specified operator and describing the spectral properties of the initial space in the topologi...

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Bibliographic Details
Date:	1992
Main Authors:	Lopushansky , О. V., Лопушанський , О. В.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 1992
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7892
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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