Approximate characterizations of projectivity and injectivity for Banach modules

We characterize projective and injective Banach modules in approximate terms, generalizing thereby a characterization of contractible Banach algebras given by F. Ghahramani and R. J. Loy. As a corollary, we show that each uniformly approximately amenable Banach algebra is amenable. Some applications to homological dimensions of Banach modules and algebras are also given. © 2007 Cambridge Philosophical Society.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
2
Язык
Английский
Страницы
375-385
Статус
Опубликовано
Подразделение
-
Номер
-
Том
143
Год
2007
Организации
  • 1 Department of Nonlinear Analysis and Optimization, Faculty of Science, Peoples' Friendship University of Russia, Mikluho-Maklaya 6, 117198 Moscow, Russian Federation
  • 2 Krupskoi 8-3-89, 119311 Moscow, Russian Federation
Ключевые слова
-
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3206/