Article ID Journal Published Year Pages File Type
9521091 Indagationes Mathematicae 2005 9 Pages PDF
Abstract
Let E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E, andsuppose that Ea is order dense in E. If E contains a lattice copy of ℓ∞ (equivalently, E ≠ a) then E/Ea contains a lattice copy of ℓ∞/c0, and hence a lattice-isometric copy of ℓ∞. This is one of the consequences of more general results presented in this paper.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
,