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This paper is devoted to studying individual ergodic theorems for subsequential weighted ergodic averages on the noncommutative [Formula: see text]-spaces associated to a semifinite von Neumann algebra [Formula: see text].… Click to show full abstract
This paper is devoted to studying individual ergodic theorems for subsequential weighted ergodic averages on the noncommutative [Formula: see text]-spaces associated to a semifinite von Neumann algebra [Formula: see text]. In particular, we establish the convergence of these averages along sequences with density one and certain types of block sequences with positive lower density, and we extend known results along uniform sequences in the sense of Brunel and Keane.
Keywords:
ergodic theorems;
weighted individual;
noncommutative subsequential;
individual ergodic;
subsequential weighted
Journal Title: Infinite Dimensional Analysis, Quantum Probability and Related Topics
Year Published: 2021
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Journal Title: Infinite Dimensional Analysis, Quantum Probability and Related Topics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!