Domination problem for AM-compact abstract Uryson operators

The Boolean algebra of fragments of a positive abstract Uryson operator recently was described in M. Pliev (Positivity, doi:10.1007/s11117-016-0401-9, 2016). Using this result, we prove a theorem of domination for AM-compact positive abstract Uryson operators from a Dedekind complete vector lattice E to a Banach lattice F with an order continuous norm. © 2016, Springer International Publishing.

Авторы
Orlov V.1 , Pliev M. 2, 3 , Rode D.1
Журнал
Издательство
Birkhauser Verlag AG
Номер выпуска
5
Язык
Английский
Страницы
543-552
Статус
Опубликовано
Том
107
Год
2016
Организации
  • 1 Voronezh State University, Universitetskaya pl., Voronezh, 394006, Russian Federation
  • 2 Southern Mathematical Institute of the Russian Academy of Sciences, str. Markusa 22, Vladikavkaz, 362027, Russian Federation
  • 3 Peoples’ Friendship University of Russia, M.-Maklaya str., 6, Moscow, 117198, Russian Federation
Ключевые слова
Primary 47H30; Secondary 47H99
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3765/
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