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.
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Original Russian Text © M.R. Timirshin, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 9, pp. 53–68.
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Timirshin, M.R. Some properties of graphs of closed operators. Russ Math. 53, 45–61 (2009). https://doi.org/10.3103/S1066369X09090060
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DOI: https://doi.org/10.3103/S1066369X09090060