Some properties of graphs of closed operators

被引：0
|
作者：
M. R. Timirshin
机构：
[1] Kazan State University,
来源：
Russian Mathematics | 2009年 / 53卷 / 9期
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：
学科分类号：
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：16
相关论文
共 50 条
  • [41] SOME PROPERTIES OF LAMPERTI OPERATORS
    陈滋利
    ScienceBulletin, 1986, (20) : 1434 - 1435
  • [42] On Some Properties of Dyadic Operators
    Gu, Heng
    Xue, Qingying
    Yabuta, Kozo
    TAIWANESE JOURNAL OF MATHEMATICS, 2022, 26 (03): : 521 - 544
  • [43] Some integral operators and their properties
    Mustafa, Nizami
    KUWAIT JOURNAL OF SCIENCE, 2016, 43 (04) : 45 - 55
  • [44] SOME PROPERTIES OF COMPOSITION OPERATORS
    CIMA, JA
    THOMSON, J
    WOGEN, W
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1974, 24 (03) : 215 - 220
  • [45] SOME PROPERTIES OF PRESPECTRAL OPERATORS
    DOWSON, HR
    PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES, 1974, A 74 (18-3) : 207 - 221
  • [46] Some concrete operators and their properties
    Gurdal, Mehmet
    Garayev, Muebariz T.
    Saltan, Suna
    TURKISH JOURNAL OF MATHEMATICS, 2015, 39 (06) : 970 - 989
  • [47] Some Properties of Graphs of Diameters
    V. L. Dol'nikov
    Discrete & Computational Geometry, 2000, 24 : 293 - 300
  • [48] On Some Properties of Semirings of Graphs
    Rahman, Saifur
    Umbrey, Gete
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2022, 46 (04) : 553 - 563
  • [49] Some Properties of Bergman Operators
    严克任
    Acta Mathematica Sinica,English Series, 1986, (04) : 332 - 336
  • [50] ON SOME PROPERTIES OF THE PICARD OPERATORS
    Rempulska, Lucyna
    Tomczak, Karolina
    ARCHIVUM MATHEMATICUM, 2009, 45 (02): : 125 - 135
12345