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Sbornik: Mathematics, 2013, Volume 204, Issue 8, Pages 1085–1121
DOI: https://doi.org/10.1070/SM2013v204n08ABEH004331 (Mi sm8136) 		 
This article is cited in 4 scientific papers (total in 4 papers)

$m$-Accretive extensions of a sectorial operator

Yu. M. Arlinskii, A. B. Popov

Volodymyr Dahl East-Ukrainian National University
English version PDF (654 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM2013v204n08ABEH004331
Abstract: A description of all the maximal accretive extensions and their resolvents is given for a densely defined closed sectorial operator in terms of abstract boundary conditions. These results are applied to parametrize all the $m$-accretive extensions of a symmetric operator in a planar model of one-centre point interaction.
Bibliography: 40 titles.
Keywords: sectorial operator, accretive operator, linear relation, Friedrichs extension, boundary triplet.
Received: 24.04.2012 and 28.03.2013
Russian version:
Matematicheskii Sbornik, 2013, Volume 204, Number 8, Pages 3–40
DOI: https://doi.org/10.4213/sm8136
Bibliographic databases:
Document Type: Article
UDC: 517.983.24
MSC: 47A20, 47B44
Language: English
Original paper language: Russian
Citation: Yu. M. Arlinskii, A. B. Popov, “$m$-Accretive extensions of a sectorial operator”, Mat. Sb., 204:8 (2013), 3–40; Sb. Math., 204:8 (2013), 1085–1121
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:668
    Russian version PDF:239
    English version PDF:17
    References:75
    First page:41
     
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