Noncommutative multi-parameter Wiener-Wintner type ergodic theorem

DOI10.1016/j.jfa.2018.05.016zbMath1425.46043arXiv1602.00927OpenAlexW2962768624WikidataQ129753356 ScholiaQ129753356MaRDI QIDQ1642285

Mu Sun, Guixiang Hong

Publication date: 20 June 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00927

zbMATH Keywords

noncommutative \(L_p\)-spacesnoncommutative dynamical systemsmulti-parameter individual ergodic theoremWiener-Wintner-type ergodic theorem

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Noncommutative dynamical systems (46L55) Ergodic theorems, spectral theory, Markov operators (37A30) Noncommutative function spaces (46L52)

Related Items (8)

Noncommutative maximal ergodic inequalities associated with doubling conditions ⋮ Quantitative mean ergodic inequalities: power bounded operators acting on one single noncommutative \(L_p\) space ⋮ Noncommutative pointwise convergence of orthogonal expansions of several variables ⋮ Maximal ergodic inequalities for some positive operators on noncommutative Lp$L_p$‐spaces ⋮ Noncommutative strong maximals and almost uniform convergence in several directions ⋮ Non-commutative ergodic averages of balls and spheres over Euclidean spaces ⋮ Some noncommutative subsequential weighted individual ergodic theorems ⋮ Noncommutative Wiener–Wintner type ergodic theorems

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