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Matematicheskie Zametki, 2013, Volume 94, Issue 3, Pages 426–440
DOI: https://doi.org/10.4213/mzm9174 (Mi mzm9174) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Gearhart–Prüss Theorem for a Class of Degenerate Semigroups of Operators

A. G. Chshiev

Voronezh State University
Full-text PDF (549 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm9174
Abstract: We consider a class of semigroups of operators in Hilbert space whose generators are linear relations. An analog of the Gearhart–Prüss theorem for semigroups of operators from the class under consideration is obtained.
Keywords: semigroups of operators in Hilbert space, Gearhart–Prüss theorem, linear relation, complex Hilbert space, infinitesimal operator, exponential dichotomy.
Received: 24.05.2011
Revised: 25.10.2011
English version:
Mathematical Notes, 2013, Volume 94, Issue 3, Pages 400–413
DOI: https://doi.org/10.1134/S0001434613090113
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. G. Chshiev, “The Gearhart–Prüss Theorem for a Class of Degenerate Semigroups of Operators”, Mat. Zametki, 94:3 (2013), 426–440; Math. Notes, 94:3 (2013), 400–413
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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