Strong laws of large numbers in von Neumann algebras

被引：0
作者：
Katarzyna Klimczak
机构：
[1] University of Łódź,Faculty of Mathematics and Computer Science
来源：
Acta Mathematica Hungarica | 2012年 / 135卷
关键词：
von Neumann algebra; law of large numbers; 46L53; 60F15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note noncommutative versions of Etemadi’s SLLN and Petrov’s SLLN are given. As a noncommutative counterpart of the classical almost sure convergence, the almost uniform convergence of measurable operators is used.
引用
收藏
页码：236 / 247
页数：11
相关论文
共 50 条
[41]   Kochen–Specker Theorem for von Neumann Algebras [J].
Andreas Döring .
International Journal of Theoretical Physics, 2005, 44 :139-160
[42]   VON NEUMANN ALGEBRAS AND EXTENSIONS OF INVERSE SEMIGROUPS [J].
Donsig, Allan P. ;
Fuller, Adam H. ;
Pitts, David R. .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2017, 60 (01) :57-97
[43]   Characterization of Tracial Functionals on Von Neumann Algebras [J].
Alhasan, Hasan ;
Fawwaz, Khattab .
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2021, 42 (10) :2273-2279
[44]   Y SEEMINGLY INJECTIVE VON NEUMANN ALGEBRAS [J].
Pisier, Gilles .
ACTA MATHEMATICA SCIENTIA, 2021, 41 (06) :2055-2085
[45]   Generalized derivations on commutative Von Neumann algebras [J].
Hosseini, A. .
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2018, 67 (01) :1-6
[46]   ON LIE TRIPLE CENTRALIZERS OF VON NEUMANN ALGEBRAS [J].
Fadaee, Behrooz ;
Ghahramani, Hoger .
OPERATORS AND MATRICES, 2024, 18 (03) :559-570
[47]   Unitary operators in real von Neumann algebras [J].
Navarro-Pascual, J. C. ;
Navarro, M. A. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (02) :933-938
[48]   Ultraweak Continuity of σ-derivations on von Neumann Algebras [J].
Madjid Mirzavaziri ;
Mohammad Sal Moslehian .
Mathematical Physics, Analysis and Geometry, 2009, 12 :109-115
[49]   On Classification of von Neumann Algebras in a Space with Conjugation [J].
Vladova, E. V. ;
Matveichuk, M. S. ;
Ogai, Yu. G. .
RUSSIAN MATHEMATICS, 2014, 58 (04) :1-6
[50]   The interpolation in CSL subalgebras of von Neumann algebras [J].
Li, Ran ;
Chen, Peixin ;
Lu, Yufeng .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 473 (02) :803-810
12345