On hereditary reflexivity of topological vector spaces. the de rham cochain and chain spaces

For proving reflexivity of the spaces of de Rham coho- mology and homology of C∞-manifolds the author considers the notion of hereditary reflexivity as well as the notion of dual hereditary reflexivity of locally convex topological vector spaces which is interesting in itself. Complete barrelled nuclear spaces with complete nuclear duals turn out to be hereditarily reflexive. The Pontryagin duality in locally convex topological spaces is also considered.

Авторы
Редакторы
-
Журнал
Издательство
-
Номер выпуска
2
Язык
Английский
Страницы
397-422
Статус
Опубликовано
Подразделение
-
Номер
-
Том
43
Год
2008
Организации
  • 1 Mathematical Analysis and Function Theory Department, Peoples' Friendship University of Russia, Miklukho-Maklay str. 6, 117198 Moscow, Russian Federation
Ключевые слова
Currents; De Rham cohomology; Dual hereditary reflexivity; Hereditary reflexivity; Nuclear spaces; Pontryagin duality
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3024/