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A noncommutative maximal inequality for ergodic averages along arithmetic sets

Operator Algebras 2024-08-09 v1 Functional Analysis

Abstract

In this paper, we establish a noncommutative maximal inequality for ergodic averages with respect to the set {ktk=1,2,3,...}\{k^t|k=1,2,3,...\} acting on noncommutative LpL_p spaces for p>5+12p>\frac{\sqrt{5}+1}{2}.

Keywords

Cite

@article{arxiv.2408.04374,
  title  = {A noncommutative maximal inequality for ergodic averages along arithmetic sets},
  author = {Cheng Chen and Guixiang Hong and Liang Wang},
  journal= {arXiv preprint arXiv:2408.04374},
  year   = {2024}
}

Comments

18 pages

R2 v1 2026-06-28T18:07:34.954Z