On Kakutani--Krein and Maeda--Ogasawara spaces
Authors : Zafer Ercan, Neşet Özkan Tan
Pages : 136-138
Doi:10.3906/mat-1212-52
View : 12 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
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