On \(CD_0(K)\)-spaces. (English) Zbl 1096.46507

Troitsky, V. G.

Vladikavkaz. Mat. Zh. 6, No. 1, 71-73 (2004).

Summary: An elementary proof is presented of the previously known fact that a \(CD_0(K)\)-space is a Banach lattice and is lattice isometrically isomorphic to a particular \(C(\widetilde{K})\) for some compact space \(\widetilde{K}\).

MSC:

46B42	Banach lattices
47B65	Positive linear operators and order-bounded operators

Keywords:

Hausdorff topological space; finite cover; Hausdorff topology