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Turkish Journal of Mathematics

DOI

10.3906/mat-1212-52

Abstract

Let E be an Archimedean Riesz space. It is shown that the Kakutani--Krein space of the center of the Dedekind completion of E and the Maeda--Ogasawara space of E are homeomorphic. By applying this, we can reprove a Banach Stone type theorem for C^{\infty}(S) spaces, where S is a Stonean space.

First Page

136

Last Page

138

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