On the pointwise entangled ergodic theorem

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• 作者：Tanja Eisner^a ; ^{eisner@math.uni-leipzig.de} ; Dá ; vid Kunszenti-Ková ; cs^b ; ^{daku@fa.uni-tuebingen.de}
• 关键词：Entangled ergodic averages ; Pointwise convergence ; Unimodular eigenvalues ; Dunford&ndash ; Schwartz operators
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 May 2017
• 年：2017
• 卷：449
• 期：2
• 页码：1754-1769
• 全文大小：408 K
• 卷排序：449

文摘

We present some twisted compactness conditions for almost everywhere convergence of one-parameter entangled ergodic averages of Dunford–Schwartz operators T0,…,TaT0,…,Ta on a Borel probability space of the form1N∑n=1NTanAa−1Ta−1nAa−1⋅…⋅A0T0nf for f∈Lp(X,μ)f∈Lp(X,μ), p≥1p≥1. We also discuss examples and present a continuous version of the result.