Commutants of certain analytic operator algebras

被引:2
|
作者
Ji, Guoxing [1 ]
Ohwada, Tomoyoshi
Saito, Kichi-Suke
机构
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
[2] Tsuruoka Natl Coll Technol, Dept Gen Sci, Tsuruoka 9978511, Japan
[3] Niigata Univ, Dept Math, Fac Sci, Niigata 9502181, Japan
关键词
Von Neumann algebra; subdiagonal algebra; analytic operator algebra; algebraic commutant;
D O I
10.1090/S0002-9939-06-08326-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that algebraic commutants of maximal subdiagonal algebras and of analytic operator algebras determined by flows in a sigma-finite von Neumann algebra are self-adjoint.
引用
收藏
页码:2975 / 2982
页数:8
相关论文
共 50 条
  • [41] Compact endomorphisms of certain analytic Lipschitz algebras
    Behrouzi, F
    Mahyar, H
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2005, 12 (02) : 301 - 312
  • [42] COMMUTANTS OF POWERS OF A SPECTRAL OPERATOR
    ALMOAJIL, AH
    JOURNAL OF ENGINEERING SCIENCES, 1978, 4 (02): : 109 - 112
  • [43] o ON A CERTAIN CLASS OF OPERATOR ALGEBRAS AND THEIR DERIVATIONS
    Ayupov, Sh. A.
    Abdullaev, R. Z.
    Kudaybergenov, K. K.
    EURASIAN MATHEMATICAL JOURNAL, 2014, 5 (01): : 82 - 94
  • [44] ISOMETRIES OF CERTAIN REFLEXIVE OPERATOR-ALGEBRAS
    MOORE, RL
    TRENT, TT
    JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 98 (02) : 437 - 471
  • [45] Certain generating subspaces for vertex operator algebras
    Karel, M
    Li, HS
    JOURNAL OF ALGEBRA, 1999, 217 (02) : 393 - 421
  • [46] Derivations and Isomorphisms of Certain Reflexive Operator Algebras
    Hou Chengjun
    Han Deguang Department of Mathematics
    Acta Mathematica Sinica,English Series, 1998, (01) : 105 - 112
  • [47] Certain free products of graph operator algebras
    Duncan, Benton L.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 364 (02) : 534 - 543
  • [48] GENERALIZATION OF SALAGEAN OPERATOR FOR CERTAIN ANALYTIC FUNCTIONS
    Ibrahim, Alawiah
    Owa, Shigeyoshi
    Darus, Maslina
    Nakamura, Yayoi
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2008, 2 (02): : 16 - 22
  • [49] Derivations and isomorphisms of certain reflexive operator algebras
    Hou, CJ
    Han, DG
    ACTA MATHEMATICA SINICA-NEW SERIES, 1998, 14 (01): : 105 - 112
  • [50] On Certain Functional Equations on Standard Operator Algebras
    Rehman, Nadeem Ur
    Sirovnik, Nejc
    Bano, Tarannum
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (01)