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Some properties of graphs of closed operators
Authors:M R Timirshin
Institution:(1) Kazan State University, ul. Kremlyovskaya 18, Kazan, 420008, Russia
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: and phrases" target="_blank"> and phrases  graph  closed operator  orthoprojector  characteristic matrix  representation of von Neumann algebras
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