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], 2017, Volume 13, Number 3, Pages 205–241
DOI: https://doi.org/10.15407/mag13.03.205 (Mi jmag670) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On $m$-sectorial extensions of sectorial operators

Yury Arlinskiĭ, Andrey Popov

Volodymyr Dahl East Ukrainian National University, 59-a Central Ave., Severodonetsk, 93400, Ukraine
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DOI: https://doi.org/10.15407/mag13.03.205
Abstract: We study maximal sectorial extensions of an arbitrary closed densely defined sectorial operator. In particular, abstract boundary conditions for these extensions are obtained. The results are applied for the parametrization of all $m$-sectorial extensions of a nonnegative symmetric operator in a planar model of two-point interactions.
Key words and phrases: sectorial operator, accretive operator, Friedrichs extension, Kreĭn–von Neumann extension, boundary pair, boundary triplet.
Received: 23.12.2015
Revised: 10.02.2016
Bibliographic databases:
Document Type: Article
MSC: 47A20, 47B25, 47B44, 47A06, 47A07, 82B23
Language: English
Citation: Yury Arlinskiǐ, Andrey Popov, “On $m$-sectorial extensions of sectorial operators”, Zh. Mat. Fiz. Anal. Geom., 13:3 (2017), 205–241
Citation in format AMSBIB
\Bibitem{ArlPop17}
\by Yury~Arlinski{\v\i}, Andrey~Popov
\paper On $m$-sectorial extensions of sectorial operators
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2017
\vol 13
\issue 3
\pages 205--241
\mathnet{http://mi.mathnet.ru/jmag670}
\crossref{https://doi.org/10.15407/mag13.03.205}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000410993200001}
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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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