Weighted Subsequential ergodic theorems on Orlicz spaces
Operator Algebras
2023-06-21 v1
Abstract
For a semifinite von Neumann algebra M, individual convergence of subsequential, \mathcal{Z}(M) (center of M) valued weighted ergodic averages are studied in noncommutative Orlicz spaces. In the process, we also derive a maximal ergodic inequality corresponding to such averages in noncommutative L^p~ (1 \leq p < \infty) spaces using the weak (1,1) inequality obtained by Yeadon.
Cite
@article{arxiv.2306.10552,
title = {Weighted Subsequential ergodic theorems on Orlicz spaces},
author = {Panchugopal Bikram and Diptesh Saha},
journal= {arXiv preprint arXiv:2306.10552},
year = {2023}
}
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14 pages