Almost Uniform Convergence in Noncommutative Dunford-Schwartz Ergodic Theorem for $p>1$
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2020
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909449078177792 |
|---|---|
| author | Litvinov, Semyon |
| author_facet | Litvinov, Semyon |
| contents | We prove that the ergodic Ces\' aro averages generated by a positive Dunford-Schwartz operator in a noncommutative space $L^p(\mathcal M,τ)$, $1<p<\infty$, converge almost uniformly (in Egorov's sense). This problem goes back to the original paper of Yeadon \cite{ye}, where bilaterally almost uniform convergence of these averages was established for $p=1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_07286 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Almost Uniform Convergence in Noncommutative Dunford-Schwartz Ergodic Theorem for $p>1$ Litvinov, Semyon Operator Algebras Dynamical Systems Functional Analysis 47A35(primary), 46L52(secondary) We prove that the ergodic Ces\' aro averages generated by a positive Dunford-Schwartz operator in a noncommutative space $L^p(\mathcal M,τ)$, $1<p<\infty$, converge almost uniformly (in Egorov's sense). This problem goes back to the original paper of Yeadon \cite{ye}, where bilaterally almost uniform convergence of these averages was established for $p=1$. |
| title | Almost Uniform Convergence in Noncommutative Dunford-Schwartz Ergodic Theorem for $p>1$ |
| topic | Operator Algebras Dynamical Systems Functional Analysis 47A35(primary), 46L52(secondary) |
| url | https://arxiv.org/abs/2010.07286 |