On b-weakly compact operators on Banach lattices

Altin B.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.11, sa.1, ss.143-150, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.11650/twjm/1500404641
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.143-150
  • Anahtar Kelimeler: Banach lattices, b-Weakly compact operators, b-Order bounded operators, modulus
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper every b-weakly compact operator is shown to factor through a KB-space. Also we give some necessary and sufficient conditions for a continuous operator T : E -> X from a Banach lattice into a Banach space to be a b-weakly compact. Moreover, we investigated the order structure of b-weakly compact operator.