Some Properties of Graphs of Closed Operators

被引：0
|
作者：
Timirshin, M. R. [1 ]
机构：
[1] Kazan VI Lenin State Univ, Ul Kremlyovskaya 18, Kazan 420008, Russia
来源：
RUSSIAN MATHEMATICS | 2009年 / 53卷 / 09期
基金：
俄罗斯基础研究基金会;
关键词：
graph; closed operator; orthoprojector; characteristic matrix; representation of von Neumann algebras;
D O I：
10.3103/S1066369X09090060
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：45 / 61
页数：17
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