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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 1, Pages 144–154 (Mi smj1273)  
This article is cited in 4 scientific papers (total in 4 papers)

On some functions that map each generator of a $C_0$-semigroup into the generator of a holomorphic semigroup

A. R. Mirotin

Francisk Skorina Gomel State University
Full-text PDF (195 kB) Citations (4)
Abstract: We give some conditions on functions of the Schoenberg class T for them to send the generators of uniformly bounded semigroup of class $C_0$ to the generators of holomorphic semigroups. This generalizes Yosida, Balakrishnan, and Kato's result relating to fractional powers of operators. The functional calculus of generators of $C_0$-semigroups which uses the class T was constructed in the preceding articles of the author.
Received: 01.08.2000
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 1, Pages 114–123
DOI: https://doi.org/10.1023/A:1013832806887
Bibliographic databases:
UDC: 517.986.7:517.983.23
Language: Russian
Citation: A. R. Mirotin, “On some functions that map each generator of a $C_0$-semigroup into the generator of a holomorphic semigroup”, Sibirsk. Mat. Zh., 43:1 (2002), 144–154; Siberian Math. J., 43:1 (2002), 114–123
Citation in format AMSBIB
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\paper On some functions that map each generator of a $C_0$-semigroup into the generator of a~holomorphic semigroup
\jour Sibirsk. Mat. Zh.
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\vol 43
\issue 1
\pages 144--154
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\zmath{https://zbmath.org/?q=an:1011.46046}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 1
\pages 114--123
\crossref{https://doi.org/10.1023/A:1013832806887}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000173897400013}
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  • https://www.mathnet.ru/eng/smj/v43/i1/p144
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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