Geodesic
Some properties of graphs of closed operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2009), pp. 53-68

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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. 
@article{IVM_2009_9_a5,
     author = {M. R. Timirshin},
     title = {Some properties of graphs of closed operators},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {53--68},
     publisher = {mathdoc},
     number = {9},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_9_a5/}
}
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M. R. Timirshin. Some properties of graphs of closed operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2009), pp. 53-68. http://geodesic.mathdoc.fr/item/IVM_2009_9_a5/