Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2020, Volume 16, Number 4, Pages 381–401
DOI: https://doi.org/10.15407/mag16.04.381 (Mi jmag763) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Dissipative extensions of linear relations generated by integral equations with operator measures

Vladislav M. Bruk

Saratov State Technical University, 77 Politekhnicheskaya str., Saratov 410054, Russia
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DOI: https://doi.org/10.15407/mag16.04.381
Abstract: In the paper, a minimal relation $L_0$ generated by an integral equation with operator measures is defined and a description of the adjoint relation $L_0^*$ is given. For this minimal relation, we construct a space of boundary values (a boundary triplet) satisfying the abstract “Green formula” and get a description of maximal dissipative (accumulative) and also self-adjoint extensions of the minimal relation.
Key words and phrases: Hilbert space, linear relation, integral equation, dissipative extension, self-adjoint extension, boundary value, operator measure.
Received: 26.10.2019
Revised: 10.12.2019
Bibliographic databases:
Document Type: Article
MSC: 47A10, 46G12, 45N05
Language: English
Citation: Vladislav M. Bruk, “Dissipative extensions of linear relations generated by integral equations with operator measures”, Zh. Mat. Fiz. Anal. Geom., 16:4 (2020), 381–401
Citation in format AMSBIB
\Bibitem{Bru20}
\by Vladislav~M.~Bruk
\paper Dissipative extensions of linear relations generated by integral equations with operator measures
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2020
\vol 16
\issue 4
\pages 381--401
\mathnet{http://mi.mathnet.ru/jmag763}
\crossref{https://doi.org/10.15407/mag16.04.381}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000614632700001}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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