EN
🏠
Gutman A.E., Koptev A.V.
On the notion of the dual of a Banach bundle //
Siberian Adv. Math. 1999. V. 9, N 1. P. 46–98.

For an arbitrary continuous Banach bundle over an arbitrary topological space, the notion of a dual bundle is introduced and studied. Various necessary and sufficient conditions are presented for existence of a dual bundle, duality relations are examined between a bundle and its dual, an embedding of a bundle into its second dual is constructed, the notion of a weakly continuous section is introduced and studied. The questions under consideration are treated in the general case as well as for concrete classes of bundles and topological spaces. The results obtained are supplied with examples that justify accuracy of the results.

Keywords:continuous Banach bundle, dual Banach bundle, duality, homomorphism of Banach bundles, continuous section, weakly continuous section.
Вид Статья
Авторы Гутман Александр Ефимович
Коптев Александр Викторович
Название On the notion of the dual of a Banach bundle
Журнал Siberian Advances in Mathematics
Год 1999
Том 9
Номер 1
Страницы 46–98
Язык Английский
© 1999.02.10
Файлы
Ссылки
Проект  Банаховы расслоения 
Развитие теории непрерывных и измеримых банаховых расслоений
 
 
Файлы публикаций размещены здесь для академического использования и не предназначены для массового распространения или копирования. Сведения обновлены
19 июля 2018 г.