Mean ergodic theorem in function symmetric spaces for infinite measure

2018 ◽  
Vol 2018 (1) ◽  
pp. 35-46
Author(s):  
Vladimir Chilin ◽  
◽  
Aleksandr Veksler ◽  
Keyword(s):  
Ergodic Theorem ◽  
Symmetric Spaces ◽  
Infinite Measure ◽  
Mean Ergodic Theorem

scholarly journals Mean ergodic theorem in symmetric spaces

2017 ◽  
Vol 355 (5) ◽  
pp. 559-562
Author(s):  
Fedor Sukochev ◽  
Aleksandr Veksler
Keyword(s):  
Ergodic Theorem ◽  
Symmetric Spaces ◽  
Mean Ergodic Theorem

The Mean Ergodic Theorem in symmetric spaces

2019 ◽  
Vol 245 (3) ◽  
pp. 229-253
Author(s):  
Fedor Sukochev ◽  
Aleksandr Veksler
Keyword(s):  
Ergodic Theorem ◽  
Symmetric Spaces ◽  
Mean Ergodic Theorem ◽  
The Mean

scholarly journals Noncommutative weighted individual ergodic theorems with continuous time

2020 ◽  
Vol 23 (02) ◽  
pp. 2050013
Author(s):  
Vladimir Chilin ◽  
Semyon Litvinov
Keyword(s):  
Ergodic Theorem ◽  
Continuous Time ◽  
Symmetric Spaces ◽  
Von Neumann Algebra ◽  
Ergodic Theorems ◽  
Almost Periodic ◽  
Periodic Functions ◽  
Von Neumann ◽  
Marcinkiewicz Spaces ◽  
Local Ergodic Theorem

We show that ergodic flows in the noncommutative [Formula: see text]-space (associated with a semifinite von Neumann algebra) generated by continuous semigroups of positive Dunford–Schwartz operators and modulated by bounded Besicovitch almost periodic functions converge almost uniformly. The corresponding local ergodic theorem is also proved. We then extend these results to arbitrary noncommutative fully symmetric spaces and present applications to noncommutative Orlicz (in particular, noncommutative [Formula: see text]-spaces), Lorentz, and Marcinkiewicz spaces. The commutative counterparts of the results are derived.

scholarly journals A mean ergodic theorem on vector spaces

1999 ◽  
Vol 12 (8) ◽  
pp. 61-64
Author(s):  
Ping-Kwan Tam ◽  
Kok-Keong Tan
Keyword(s):  
Ergodic Theorem ◽  
Vector Spaces ◽  
Mean Ergodic Theorem

Statistical ergodic theorem in nonseparable symmetric spaces of functions

1989 ◽  
Vol 29 (3) ◽  
pp. 483-485 ◽  
Author(s):  
A. S. Veksler ◽  
A. L. Fedorov
Keyword(s):  
Ergodic Theorem ◽  
Symmetric Spaces
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