A Banach Principle Semifinite von Neumann Algebras

被引:1
|
作者
Chilin, Vladimir [1 ]
Litvinov, Semyon [2 ]
机构
[1] Natl Univ Uzbekistan, Dept Math, Tashkent 700095, Uzbekistan
[2] Penn State Univ, Dept Math, Hazleton, PA 18202 USA
关键词
von Neumann algebra; measure topology; almost uniform convergence; uniform equicontinuity; Banach Principle;
D O I
10.3842/SIGMA.2006.023
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Utilizing the notion of uniform equicontinuity for sequences of functions with the values in the space of measurable operators, we present a non-commutative version of the Banach Principle for L-infinity.
引用
收藏
页数:9
相关论文
共 50 条
  • [31] Stochastic coupling for von Neumann algebras
    Carlo Cecchini
    Mathematical Notes, 1999, 65 : 638 - 648
  • [32] On weakly injective von Neumann algebras
    Pop, Florin
    ARCHIV DER MATHEMATIK, 2011, 97 (02) : 151 - 156
  • [33] On weakly injective von Neumann algebras
    Florin Pop
    Archiv der Mathematik, 2011, 97 : 151 - 156
  • [34] Infinite Measures on von Neumann Algebras
    Goldstein, Stanislaw
    Paszkiewicz, Adam
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2015, 54 (12) : 4341 - 4348
  • [35] Rigidity for von Neumann Algebras and Their Invariants
    Vaes, Stefaan
    PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL III: INVITED LECTURES, 2010, : 1624 - 1650
  • [36] ON CYCLIC VECTORS AND THEN VON NEUMANN ALGEBRAS
    Pop, Florin
    OPERATORS AND MATRICES, 2013, 7 (02): : 417 - 424
  • [37] The range of operators on von Neumann algebras
    Bermúdez, T
    Kalton, NJ
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (05) : 1447 - 1455
  • [38] MAHARAM TRACES ON VON NEUMANN ALGEBRAS
    Chilin, V. I.
    Zakirov, B. S.
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2010, 16 (02): : 101 - 111
  • [39] Projections and Traces on von Neumann Algebras
    Bikchentaev, A. M.
    Abed, S. A.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (09) : 1260 - 1267
  • [40] LIFTING INVERTIBLES IN VON NEUMANN ALGEBRAS
    ROGERS, RR
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 113 (02) : 381 - 388