Theorems on decomposition of operators in L1 and their generalization to vector lattices

• Дата: 2006
• Автори: Maslyuchenko, O. V., Mykhailyuk, V. V., Popov, M. M., Маслюченко, О. В., Михайлюк, В. В., Попов, М. М.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2006
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3432
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The Rosenthal theorem on the decomposition for operators in L1 is generalized to vector lattices and to regular operators on vector lattices. The most general version turns out to be relatively simple, but this approach sheds new light on some known facts that are not directly related to the Rosenth...