On Kakutani--Krein and Maeda--Ogasawara spaces

Authors : Zafer ERCAN, Neşet Özkan TAN

Pages : 136-138

Doi:10.3906/mat-1212-52

View : 19 | Download : 6

Publication Date : 0000-00-00

Article Type : Research Paper

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\inftyinsert ignore into journalissuearticles values(S); spaces, where S is a Stonean space.
Keywords : Riesz space, universal completion, Kakutani Krein space, Maeda Ogasawara space