Generalized Alexandroff Duplicates and CD0(K) spaces

Çaglar M., Ercan Z., POLAT F.

Central European Journal of Mathematics, cilt.4, sa.3, ss.371-375, 2006 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 3
  • Basım Tarihi: 2006
  • Doi Numarası: 10.2478/s11533-006-0018-5
  • Dergi Adı: Central European Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.371-375
  • Anahtar Kelimeler: Alexandroff Duplicate, Banach lattices, CD0(K,E)-spaces, Homeomorphism
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

We define and investigate CDΣ,Γ(K, E)-type spaces, which generalizeCD0-type Banach lattices introduced in [1]. We state that the space CDΣ,Γ(K, E) can be represented as the space of E-valued continuous functions on the generalized Alexandroff Duplicate of K. As a corollary we obtain the main result of [6, 8]. © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2006.