A Random Ergodic Theorem in Von Neumann Algebras

1982 ◽  
Vol 86 (4) ◽  
pp. 605 ◽  
Author(s):  
Nghiem Dang-Ngoc
Keyword(s):  
Ergodic Theorem ◽  
Von Neumann Algebras ◽  
Von Neumann

Ergodic theorems for semifinite von Neumann algebras: II

1980 ◽  
Vol 88 (1) ◽  
pp. 135-147 ◽  
Author(s):  
F. J. Yeadon
Keyword(s):  
Banach Spaces ◽  
Ergodic Theorem ◽  
Von Neumann Algebra ◽  
Von Neumann Algebras ◽  
Operator Norm ◽  
Ergodic Theorems ◽  
Unbounded Operators ◽  
Von Neumann ◽  
The Mean ◽  
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In (7) we proved maximal and pointwise ergodic theorems for transformations a of a von Neumann algebra which are linear positive and norm-reducing for both the operator norm ‖ ‖∞ and the integral norm ‖ ‖1 associated with a normal trace ρ on . Here we introduce a class of Banach spaces of unbounded operators, including the Lp spaces defined in (6), in which the transformations α reduce the norm, and in which the mean ergodic theorem holds; that is the averagesconverge in norm.

scholarly journals On individual subsequential ergodic theorem in von Neumann algebras

2001 ◽  
Vol 145 (1) ◽  
pp. 55-62 ◽  
Author(s):  
Semyon Litvinov ◽  
Farrukh Mukhamedov
Keyword(s):  
Ergodic Theorem ◽  
Von Neumann Algebras ◽  
Von Neumann

Lectures on von Neumann Algebras

2019 ◽  
Author(s):  
Serban-Valentin Stratila ◽  
Laszlo Zsido
Keyword(s):  
Von Neumann Algebras ◽  
Von Neumann
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