Title of article :
On Kakutani-Krein and Maeda-Ogasawara spaces
Author/Authors :
ERCAN, ZAFER Abant Izzet Baysal University, Golkoy Campus - Department of Mathematics, Turkey , TAN, NEŞET ÖZKAN Usak University, Eylul Campus - Department of Mathematics, Turkey
Abstract :
Let E be an Archimedean Riesz space. It is shown that the Kakutani–Krein space of the center of theDedekind 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∞(S) spaces, where S is a Stonean space.
Keywords :
Riesz space , universal completion , Kakutani–Krein space , Maeda–Ogasawara space
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
