On b-weakly compact operators on Banach lattices
TAIWANESE JOURNAL OF MATHEMATICS, cilt.11, sa.1, ss.143-150, 2007 (SCI-Expanded, Scopus)
- 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.