On Kakutani-Krein and Maeda-Ogasawara spaces

Ercan Z., Tan N. Ö.

Turkish Journal of Mathematics, vol.38, no.1, pp.136-138, 2014 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 1
  • Publication Date: 2014
  • Doi Number: 10.3906/mat-1212-52
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.136-138
  • Keywords: Kakutani-Krein space, Maeda-Ogasawara space, Riesz space, Universal completion
  • Uşak University Affiliated: Yes

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∞(S) spaces, where S is a Stonean space. © TÜBİTAK.