Order convergence in infinite-dimensional vector lattices is not topological

Autor:	Dabboorasad, Yousef A.m., Emelyanov, E YU, Marabeh, Maa
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	Mathematics - Functional Analysis High Energy Physics::Lattice FOS: Mathematics 46A16 46A40 46B30 Functional Analysis (math.FA)
Popis:	In this note, we show that the order convergence in a vector lattice is not topological unless . Furthermore, we show that, in atomic order continuous Banach lattices, the order convergence is topological on order intervals. Subjects: Functional Analysis (math. FA) MSC classes: 46A16, 46A40, 46B30 Cite as: arXiv: 1705.09883 [math. FA] (or arXiv: 1705.09883 v1 [math. FA] for this version) Submission history From: Yousef Dabboorasad [view email] [v1] Sun, 28 May 2017 01: 38: 39 GMT (6kb)
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::853fa55e777075297268c2792f3b189e http://arxiv.org/abs/1705.09883 Zobrazit plný text záznamu