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On scalar-type spectral operators and Carleman ultradifferentiable C0-semigroups

Necessary and sufficient conditions for a scalar-type spectral operator in a Banach space to be a generator of a Carleman ultradifferentiable C0-semigroup are found. The conditions are formulated exclusively in terms of the spectrum of the operator.

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Bibliographic Details
Date:	2008
Main Authors:	Markin, M. V., Маркін, М. В.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2008
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3238
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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