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1. Banach–Stone theorems and Riesz algebras

Author

Miao, Xinhe, Cao, Jiling, and Xiong, Hongyun

Subjects
*COMPACTING, *LATTICE theory, *ALGEBRA, *MATHEMATICAL analysis
Abstract

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 has no zero if f has none, then X is homeomorphic to Y and E is Riesz algebraically isomorphic to F. [Copyright &y& Elsevier]

Published
2006
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