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Matematicheskie Zametki, 2008, Volume 84, Issue 2, Pages 175–192
DOI: https://doi.org/10.4213/mzm4165 (Mi mzm4165) 		 
This article is cited in 28 scientific papers (total in 28 papers)

Linear Relations as Generators of Semigroups of Operators

A. G. Baskakov

Voronezh State University
Full-text PDF (562 kB) Citations (28)
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DOI: https://doi.org/10.4213/mzm4165
Abstract: The theory of semigroups of bounded linear operators is based on the spectral theory of linear relations (multivalued linear operators), which act as generators of operator semigroups.
Keywords: semigroup, bounded linear operator, linear relation (multivalued linear operator), spectral theory, primitive generator of a semigroup, resolvent set of a linear relation, ergodic theorem, holomorphic function.
Received: 22.03.2007
Revised: 15.01.2008
English version:
Mathematical Notes, 2008, Volume 84, Issue 2, Pages 166–183
DOI: https://doi.org/10.1134/S0001434608070183
Bibliographic databases:
UDC: 517.984+517.986
Language: Russian
Citation: A. G. Baskakov, “Linear Relations as Generators of Semigroups of Operators”, Mat. Zametki, 84:2 (2008), 175–192; Math. Notes, 84:2 (2008), 166–183
Citation in format AMSBIB
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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