A noncommutative maximal inequality for ergodic averages along arithmetic sets

Fuente: arXiv
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Autori principali: Chen, Cheng, Hong, Guixiang, Wang, Liang
Natura: Preprint
Pubblicazione: 2024
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author Chen, Cheng
Hong, Guixiang
Wang, Liang
author_facet Chen, Cheng
Hong, Guixiang
Wang, Liang
contents In this paper, we establish a noncommutative maximal inequality for ergodic averages with respect to the set $\{k^t|k=1,2,3,...\}$ acting on noncommutative $L_p$ spaces for $p>\frac{\sqrt{5}+1}{2}$.
format Preprint
id arxiv_https___arxiv_org_abs_2408_04374
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A noncommutative maximal inequality for ergodic averages along arithmetic sets
Chen, Cheng
Hong, Guixiang
Wang, Liang
Operator Algebras
Functional Analysis
46L51, 42B20
In this paper, we establish a noncommutative maximal inequality for ergodic averages with respect to the set $\{k^t|k=1,2,3,...\}$ acting on noncommutative $L_p$ spaces for $p>\frac{\sqrt{5}+1}{2}$.
title A noncommutative maximal inequality for ergodic averages along arithmetic sets
topic Operator Algebras
Functional Analysis
46L51, 42B20
url https://arxiv.org/abs/2408.04374