Abstract
In this paper, we study uniform ergodicity for $C_0$-semigroups of universally bounded operators acting on locally convex spaces. Characterizations of uniform ergodic $C_0$-semigroups are given. Importantly, we give a $C_0$-semigroups version of F. Pater, T. Binzar [14] theorem.
Key words: Ergodic theorem, $C_0$-semigroups, barrelled space, universally bounded operator.
Full Text
Article Information
| Title | Ergodic theorem for a $C_0$-semigroups of universally bounded operators |
| Source | Methods Funct. Anal. Topology, Vol. 32 (2026), no. 1, 1-8 |
| DOI | 10.31392/MFAT-npu26_1.2026.01 |
| Milestones | Received 05/05/2025; Revised 15/09/2025 |
| Copyright | The Author(s) 2026 (CC BY-SA) |
Authors Information
Abdellah Akrym
Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco
Abdeslam EL Bakkali
Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, El Jadida, Morocco
Citation Example
Abdellah Akrym and Abdeslam EL Bakkali, Ergodic theorem for a $C_0$-semigroups of universally bounded operators, Methods Funct. Anal. Topology 32
(2026), no. 1, 1-8.
BibTex
@article {MFAT2206,
AUTHOR = {Abdellah Akrym and Abdeslam EL Bakkali},
TITLE = {Ergodic theorem for a $C_0$-semigroups of universally bounded operators},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {32},
YEAR = {2026},
NUMBER = {1},
PAGES = {1-8},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_1.2026.01},
URL = {https://mfat.imath.kiev.ua/article/?id=2206},
}
