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.
Keywords
Riesz space, universal completion, Kakutani--Krein space, Maeda--Ogasawara space
First Page
136
Last Page
138
Recommended Citation
ERCAN, ZAFER and TAN, NEŞET ÖZKAN
(2014)
"On Kakutani--Krein and Maeda--Ogasawara spaces,"
Turkish Journal of Mathematics: Vol. 38:
No.
1, Article 12.
https://doi.org/10.3906/mat-1212-52
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss1/12
