On Kakutani-Krein and Maeda-Ogasawara spaces

Ercan Z., Tan N. Ö.

Turkish Journal of Mathematics, cilt.38, sa.1, ss.136-138, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3906/mat-1212-52
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.136-138
  • Anahtar Kelimeler: Kakutani-Krein space, Maeda-Ogasawara space, Riesz space, Universal completion
  • Uşak Üniversitesi Adresli: Evet

Özet

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.