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.

DOI

10.3906/mat-1212-52

Keywords

Riesz space, universal completion, Kakutani--Krein space, Maeda--Ogasawara space

First Page

136

Last Page

138

Recommended Citation

ERCAN, Z, & TAN, N. Ö (2014). On Kakutani--Krein and Maeda--Ogasawara spaces. Turkish Journal of Mathematics 38 (1): 136-138. https://doi.org/10.3906/mat-1212-52

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