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

Markin M. V.

Volume 71, № 11, 2019
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Том 71
№ 11

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Ukr. Mat. Zh.
Volume 60, № 9, 2008
pp. 1215 – 1233

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

Markin M. V.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 9, pp 1418-1436.

Citation Example: Markin M. V. On scalar-type spectral operators and Carleman ultradifferentiable C₀-semigroups // Ukr. Mat. Zh. - 2008. - 60, № 9. - pp. 1215 – 1233.

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