Article ID Journal Published Year Pages File Type
4624208 Journal of Mathematical Analysis and Applications 2006 7 Pages PDF
Abstract

Let X, Y be compact Hausdorff spaces and let E, F be both Banach lattices and Riesz algebras. In this paper, the following main result shall be proved: If F has no zero-divisor and there exists a Riesz algebraic isomorphism such that Φ(f) has no zero if f has none, then X is homeomorphic to Y and E is Riesz algebraically isomorphic to F.

Related Topics
Physical Sciences and Engineering Mathematics Analysis