Individual ergodic theorems in noncommutative Orlicz spaces

For a noncommutative Orlicz space associated with a semifinite von Neumann algebra, a faithful normal semifinite trace and an Orlicz function satisfying ( δ 2 , Δ 2 ) -condition, an individual ergodic theorem is proved.

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Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2017-03, Vol.21 (1), p.49-59
Main Authors: Chilin, Vladimir, Litvinov, Semyon
Format: Article
Language:English
Subjects:
Algebra
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fourier Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
Studies
Theorems
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Description
Summary:For a noncommutative Orlicz space associated with a semifinite von Neumann algebra, a faithful normal semifinite trace and an Orlicz function satisfying ( δ 2 , Δ 2 ) -condition, an individual ergodic theorem is proved.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-016-0402-8