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Some integrals for groups of bounded linear operators on finite-dimensional non-Archimedean Banach spaces
J. Ettayb Department of Mathematics, Faculty of Sciences Dhar Mahraz, Sidi Mohamed Ben Abdellah University, Fès, Morocco
Аннотация:
In this paper, we extend the Volkenborn integral and Shnirelman integral for groups of bounded linear operators on finite-dimensional non-Archimedean Banach spaces over $\mathbb{Q}_{p}$ and $\mathbb{C}_{p}$ respectively. When the ground field is a complete non-Archimedean valued field, which is also algebraically closed, we give some functional calculus for groups of infinitesimal generator $A$ such that $A$ is a nilpotent operator on finite-dimensional non-Archimedean Banach spaces.
Ключевые слова и фразы:
Volkenborn integral, Shnirelman integral, groups of bounded linear operators, $p$-adic theory.
Поступила в редакцию: 06.04.2022
Образец цитирования:
J. Ettayb, “Some integrals for groups of bounded linear operators on finite-dimensional non-Archimedean Banach spaces”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, no. 3, 3–14
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm576 https://www.mathnet.ru/rus/basm/y2022/i3/p3
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Страница аннотации: | 190 | PDF полного текста: | 24 | Список литературы: | 7 |
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