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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Date: | 2008 |
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Main Author: | |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2008
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Series: | Український математичний журнал |
Subjects: | |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164750 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | On scalar-type spectral operators and Carleman ultradifferentiable C₀-semigroups / M.V. Markin // Український математичний журнал. — 2008. — Т. 60, № 9. — С. 1215–1233. — Бібліогр.: 31 назв. — англ. |