Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| _version_ | 1866917884961226752 |
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| author | Litvinov, Semyon |
| author_facet | Litvinov, Semyon |
| contents | This article gives an affirmative solution to the problem whether the ergodic Cesáro averages generated by a positive Dunford-Schwartz operator in a noncommutative space $L^p(\mathcal M,τ)$, $1\leq p<\infty$, converge almost uniformly (in Egorov's sense). This problem goes back to the original paper of Yeadon, published in 1977, where bilaterally almost uniform convergence of these averages was established for $p=1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1606_04501 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem Litvinov, Semyon Functional Analysis This article gives an affirmative solution to the problem whether the ergodic Cesáro averages generated by a positive Dunford-Schwartz operator in a noncommutative space $L^p(\mathcal M,τ)$, $1\leq p<\infty$, converge almost uniformly (in Egorov's sense). This problem goes back to the original paper of Yeadon, published in 1977, where bilaterally almost uniform convergence of these averages was established for $p=1$. |
| title | Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/1606.04501 |