On some geometrical properties of certain vector-valued sequence spaces

ŞİMŞEK N., KARAKAYA V.

Far East Journal of Mathematical Sciences, cilt.40, sa.2, ss.189-200, 2010 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 2
  • Basım Tarihi: 2010
  • Dergi Adı: Far East Journal of Mathematical Sciences
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.189-200
  • Anahtar Kelimeler: Generalized cesáro sequence spaces, Geometric properties, H-property, Luxemburg norm, R-property, Vector-valued sequence spaces
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the generalized Cesáro vector-valued sequence space ces(X, pn, qn) equipped with the Luxemburg norm. Further, we show some topological properties of this space with respect to the Luxemburg norm. Finally, it is proved that the space ces(X, pn, qn) has Kadec-Klee (H) property and we also give a counterexample concerning not rotundity of the vector-valued space ces(X, pn, qn). © 2010 Pushpa Publishing House.