scholarly journals Mean ergodic theorem for amenable discrete quantum groups and a Wiener-type theorem for compact metrizable groups

2016 ◽  
Vol 9 (4) ◽  
pp. 893-906 ◽  
Author(s):  
Huichi Huang
Keyword(s):  
Ergodic Theorem ◽  
Quantum Groups ◽  
Type Theorem ◽  
Mean Ergodic Theorem ◽  
Wiener Type

scholarly journals A MEAN ERGODIC THEOREM FOR ACTIONS OF AMENABLE QUANTUM GROUPS

2008 ◽  
Vol 78 (1) ◽  
pp. 87-95 ◽  
Author(s):  
ROCCO DUVENHAGE
Keyword(s):  
Ergodic Theorem ◽  
Quantum Groups ◽  
Von Neumann Algebra ◽  
Weak Form ◽  
Locally Compact ◽  
Von Neumann ◽  
Locally Compact Quantum Groups ◽  
Mean Ergodic Theorem ◽  
Compact Quantum Groups ◽  
The Mean

AbstractWe prove a weak form of the mean ergodic theorem for actions of amenable locally compact quantum groups in the von Neumann algebra setting.

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 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

scholarly journals Covariance function and ergodicity of asymptotically stationary random fields

1991 ◽  
Vol 44 (1) ◽  
pp. 49-62 ◽  
Author(s):  
V.V. Anh ◽  
K.E. Lunney
Keyword(s):  
Ergodic Theorem ◽  
Random Fields ◽  
Covariance Function ◽  
Spectral Representation ◽  
Second Order ◽  
Continuity Theorem ◽  
Mean Ergodic Theorem ◽  
Stationary Random Fields

A class of second-order asymptotically stationary random fields is shown to contain the class of almost harmonisable random fields. A continuity theorem which leads to the spectral representation for the covariance function of asymptotically stationary random fields is established. A mean ergodic theorem for the fields is also given. When stationarity is assumed, the results reduce to the well-known corresponding theorems for stationary random fields.

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