Abstract:For operators defined on locally convex spaces we define the notions of boundedness and ergodicity associated to an infinite matrix. Given two matrices $ A$ and $ B$, we study when $ A$-bounded operators are $ B$-ergodic. Using this approach we obtain equivalent formulations for the classical notions of power boundedness, Cesàro boundedness and mean ergodicity.
| Subjects: | Functional Analysis (math.FA) |
| MSC classes: | 47A35, 47B33, 47B48 |
| Cite as: | arXiv:2605.25684 [math.FA] |
| (or arXiv:2605.25684v1 [math.FA] for this version) | |
| https://doi.org/10.48550/arXiv.2605.25684 arXiv-issued DOI via DataCite (pending registration) |
From: Pablo Sevilla-Peris [view email]
[v1]
Mon, 25 May 2026 10:40:24 UTC (20 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。