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Weak compactness problem for sets of bounded Radon measures on various topological spacesстатья
Дата последнего поиска статьи во внешних источниках: 9 декабря 2020 г.
- Авторы: Zakharov Valeriy K., Rodionov Timofey V.
- Журнал: Discontinuity, Nonlinearity and Complexity
- Том: 9
- Номер: 4
- Год издания: 2020
- Издательство: L&H Scientific Publishing LLC
- Местоположение издательства: St. Louis, IL, USA
- Первая страница: 591
- Последняя страница: 605
- DOI: 10.5890/DNC.2020.12.012
- Аннотация: The paper presents some weak compactness criterion for a subset of the set of all positive bounded Radon measures on a Hausdorff topological space similar to the Prokhorov criterion for a complete separable metric space. Since for a general topological space the classical space C_b of all bounded continuous functions can be trivial and so does not separate points and closed sets, we consider instead of the C_b-weak compactness the S-weak compactness with respect to the new uniformly closed linear space of all (symmetrizable) metasemicontinuous functions.
- Добавил в систему: Родионов Тимофей Викторович