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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 9, Pages 53–68 (Mi ivm3066)  
Some properties of graphs of closed operators

M. R. Timirshin

Chair of Mathematical Analysis, Kazan State University, Kazan, Russia
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Abstract: In this paper we study some properties of graphs of closed operators in Hilbert spaces. We construct representations of von Neumann algebras induced by graphs of closed operators. We describe some classes of closed operators in terms of their characteristic matrices and study some properties of operations on graphs of closed operators.
Keywords: graph, closed operator, orthoprojector, characteristic matrix, representation of von Neumann algebras.
Received: 31.05.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 9, Pages 45–61
DOI: https://doi.org/10.3103/S1066369X09090060
Bibliographic databases:
UDC: 517.983
Language: Russian
Citation: M. R. Timirshin, “Some properties of graphs of closed operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 9, 53–68; Russian Math. (Iz. VUZ), 53:9 (2009), 45–61
Citation in format AMSBIB
\Bibitem{Tim09}
\by M.~R.~Timirshin
\paper Some properties of graphs of closed operators
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 9
\pages 53--68
\mathnet{http://mi.mathnet.ru/ivm3066}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2650575}
\zmath{https://zbmath.org/?q=an:1189.47005}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 9
\pages 45--61
\crossref{https://doi.org/10.3103/S1066369X09090060}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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