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

• Datum: 2006
• Hauptverfasser: Maslyuchenko, O. V., Mykhailyuk, V. V., Popov, M. M., Маслюченко, О. В., Михайлюк, В. В., Попов, М. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: 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...