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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 1, Pages 118–122
DOI: https://doi.org/10.33048/smzh.2019.60.110 (Mi smj3063) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On one class of linear operators in $L_2$

V. B. Korotkov

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (261 kB) Citations (1)
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DOI: https://doi.org/10.33048/smzh.2019.60.110
Abstract: We introduce the class $B_0$ of linear operators in $L_2$ satisfying the generalized von Neumann condition. Various sufficient conditions are established for the membership of operators in the class $B_0$. Linear functional equations of the first and second kind in $L_2$ with operators of class $B_0$ are considered.
Keywords: closable operator, limit spectrum, generalized von Neumann condition, linear functional equation of the first or second kind, integral equation of the first or second kind.
Received: 23.08.2018
Revised: 23.08.2018
Accepted: 17.10.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 1, Pages 89–92
DOI: https://doi.org/10.1134/S0037446619010105
Bibliographic databases:
Document Type: Article
UDC: 517.983+517.968.25
MSC: 35R30
Language: Russian
Citation: V. B. Korotkov, “On one class of linear operators in $L_2$”, Sibirsk. Mat. Zh., 60:1 (2019), 118–122; Siberian Math. J., 60:1 (2019), 89–92
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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