Affiliation:
1. Département des Mathématiques, Faculté des Sciences de Bizerte, 7021 Zarzouna, Bizerte, Tunisia
Abstract
Let A be a uniformly complete vector lattice, let H be the collection of all order bounded linear mappings T : A → ℝ such that |T(x)| = |T(|x|)| for all x ∈ A and let σ(A, H) the weak topology on A. If (A, σ(A, H)) is a complete topological vector space then the range of any orthomorphism π: A → A is an order ideal of A.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献