Geodesic
On individual subsequential ergodic theorem in von Neumann algebras
Semyon Litvinov1 ; Farrukh Mukhamedov2
1 Department of Mathematics North Dakota State University Fargo, ND 58105, U.S.A. Current address Department of Statistics St. Cloud State University St. Cloud, MN 56301, U.S.A.
2 Institute of Mathematics Uzbekistan Academy of Sciences F. Hodjaev st. 29 Tashkent, 700143, Uzbekistan
Studia Mathematica, Tome 145 (2001) no. 1, pp. 55-62

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We use a non-commutative generalization of the Banach Principle to show that the classical individual ergodic theorem for subsequences generated by means of uniform sequences can be extended to the von Neumann algebra setting.
DOI : 10.4064/sm145-1-3
Keywords: non commutative generalization banach principle classical individual ergodic theorem subsequences generated means uniform sequences extended von neumann algebra setting

Semyon Litvinov 1 ; Farrukh Mukhamedov 2

1 Department of Mathematics North Dakota State University Fargo, ND 58105, U.S.A. Current address Department of Statistics St. Cloud State University St. Cloud, MN 56301, U.S.A.
2 Institute of Mathematics Uzbekistan Academy of Sciences F. Hodjaev st. 29 Tashkent, 700143, Uzbekistan 
@article{10_4064_sm145_1_3,
     author = {Semyon Litvinov and Farrukh Mukhamedov},
     title = {On individual subsequential ergodic theorem
in von {Neumann} algebras},
     journal = {Studia Mathematica},
     pages = {55--62},
     publisher = {mathdoc},
     volume = {145},
     number = {1},
     year = {2001},
     doi = {10.4064/sm145-1-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm145-1-3/}
}
TY  - JOUR
AU  - Semyon Litvinov
AU  - Farrukh Mukhamedov
TI  - On individual subsequential ergodic theorem
in von Neumann algebras
JO  - Studia Mathematica
PY  - 2001
SP  - 55
EP  - 62
VL  - 145
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm145-1-3/
DO  - 10.4064/sm145-1-3
LA  - en
ID  - 10_4064_sm145_1_3
ER  - 
%0 Journal Article
%A Semyon Litvinov
%A Farrukh Mukhamedov
%T On individual subsequential ergodic theorem
in von Neumann algebras
%J Studia Mathematica
%D 2001
%P 55-62
%V 145
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm145-1-3/
%R 10.4064/sm145-1-3
%G en
%F 10_4064_sm145_1_3
Semyon Litvinov; Farrukh Mukhamedov. On individual subsequential ergodic theorem
in von Neumann algebras. Studia Mathematica, Tome 145 (2001) no. 1, pp. 55-62. doi: 10.4064/sm145-1-3

Cité par Sources :