|
ИСТИНА |
Войти в систему Регистрация |
Интеллектуальная Система Тематического Исследования НАукометрических данных |
||
A Corollary to a Triviality Theorem for Quasirepresentations of an Amenable Group in Reflexive Banach Spaces, Shtern A.Iстатья
Статья опубликована в журнале из списка RSCI Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus- Автор: Штерн А.И.
- Журнал: Russian Journal of Mathematical Physics
- Том: 29
- Номер: 4
- Год издания: 2022
- Издательство: Maik Nauka/Interperiodica Publishing
- Местоположение издательства: Russian Federation
- Первая страница: 581
- Последняя страница: 582
- DOI: 10.1134/S106192082204015X
- Аннотация: As is known, for a sufficiently small defect of a (not necessarily bounded) quasirepresentation of an amenable group in a reflexive Banach space E with dense set of bounded orbits, there is an extension of this quasirepresentation for which there is a close ordinary representation of the group in the space of this extension. In the present note it is proved that, if the original quasirepresentation π of an amenable group G in a reflexive Banach space E is a pseudorepresentation, then an ordinary representation of G, in the vector subspace L of E formed by vectors with bounded orbits and equipped with a natural Banach norm, which is close to π|L (this ordinary representation exists if the defect of π is sufficiently small) is equivalent to π|L.
- Добавил в систему: Штерн Александр Исаакович