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2025-02-23T08:45:24-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-164750%22&qt=morelikethis&rows=5
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On scalar-type spectral operators and Carleman ultradifferentiable C₀-semigroups

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
Main Author: Markin, M.V.
Format: Article
Language:English
Published: Інститут математики НАН України 2008
Series:Український математичний журнал
Subjects:
Статті
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/164750
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spelling irk-123456789-1647502020-02-11T01:26:41Z On scalar-type spectral operators and Carleman ultradifferentiable C₀-semigroups Markin, M.V. Статті 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. Знайдено необхідні та достатні умови для того, щоб спектральний оператор скалярного типу в банаховому просторі породжував ультрадиференційовну C₀-напівгрупу Карлемана. Ці умови сформульовано виключно у термінах спектра оператора. 2008 Article 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. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/164750 531.19 en Український математичний журнал Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Статті
Статті
spellingShingle Статті
Статті
Markin, M.V.
On scalar-type spectral operators and Carleman ultradifferentiable C₀-semigroups
Український математичний журнал
description 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.
format Article
author Markin, M.V.
author_facet Markin, M.V.
author_sort Markin, M.V.
title On scalar-type spectral operators and Carleman ultradifferentiable C₀-semigroups
title_short On scalar-type spectral operators and Carleman ultradifferentiable C₀-semigroups
title_full On scalar-type spectral operators and Carleman ultradifferentiable C₀-semigroups
title_fullStr On scalar-type spectral operators and Carleman ultradifferentiable C₀-semigroups
title_full_unstemmed On scalar-type spectral operators and Carleman ultradifferentiable C₀-semigroups
title_sort on scalar-type spectral operators and carleman ultradifferentiable c₀-semigroups
publisher Інститут математики НАН України
publishDate 2008
topic_facet Статті
url http://dspace.nbuv.gov.ua/handle/123456789/164750
citation_txt 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.
series Український математичний журнал
work_keys_str_mv AT markinmv onscalartypespectraloperatorsandcarlemanultradifferentiablec0semigroups
first_indexed 2023-10-18T22:14:32Z
last_indexed 2023-10-18T22:14:32Z
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