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Funktsional'nyi Analiz i ego Prilozheniya, 2004, Volume 38, Issue 4, Pages 6–12
DOI: https://doi.org/10.4213/faa122 (Mi faa122) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the Inverse of the Generator of a Bounded $C_0$-Semigroup

A. M. Gomilko

Institute of Hydromechanics of NAS of Ukraine
Full-text PDF (153 kB) Citations (7)
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DOI: https://doi.org/10.4213/faa122
Abstract: Let $A$ be the generator of a uniformly bounded $C_0$-semigroup in a Banach space $B$, and let $A$ have a densely defined inverse $A^{-1}$. We present sufficient conditions on the resolvent $(A-\lambda I)^{-1}$, $\operatorname{Re}\lambda>0$, under which $A^{-1}$ is also the generator of a uniformly bounded $C_0$-semigroup.
Keywords: uniformly bounded $C_0$-semigroup, inverse of the generator, Banach space, Carleson embedding theorem.
Received: 11.08.2003
English version:
Functional Analysis and Its Applications, 2004, Volume 38, Issue 4, Pages 243–248
DOI: https://doi.org/10.1007/s10688-005-0002-z
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. M. Gomilko, “On the Inverse of the Generator of a Bounded $C_0$-Semigroup”, Funktsional. Anal. i Prilozhen., 38:4 (2004), 6–12; Funct. Anal. Appl., 38:4 (2004), 243–248
Citation in format AMSBIB
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\paper On the Inverse of the Generator of a Bounded $C_0$-Semigroup
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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