Optimal reconstruction of a Banach function space from a cone of nonnegative functions

We study the problem of constructing a minimal Banach function space containing a given cone of nonnegative measurable functions. For the associate function norm of the norm of an optimal space, we obtain general formulas and specify them in the case of a cone defined by an integral representation. We also consider the similar problem of constructing an optimal rearrangement invariant space and compare the descriptions obtained. © 2014 Pleiades Publishing, Ltd.

Авторы
Goldman M.L. 1 , Zabreiko P.P.2
Номер выпуска
1
Язык
Английский
Страницы
133-147
Статус
Опубликовано
Том
284
Год
2014
Организации
  • 1 Peoples' Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
  • 2 Belarusian State University, pr. Nezavisimosti 4, Minsk, 220030, Belarus
Дата создания
19.10.2018
Дата изменения
17.03.2021
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4962/