Some characterizations of KB-operators on Banach lattices and ordered Banach spaces
TURKISH JOURNAL OF MATHEMATICS, cilt.44, sa.5, ss.1736-1743, 2020 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 5
- Basım Tarihi: 2020
- Doi Numarası: 10.3906/mat-2004-106
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1736-1743
- Gazi Üniversitesi Adresli: Evet
Özet
We determine that two recent classes of KB-operators and weak KB-operators and the well-known class of b-weakly compact operators, from a Banach lattice into a Banach space, are the same. We extend our study to the ordered Banach space setting by showing that a weak chain-preserving operator between two ordered Banach spaces is a KB-operator if and only if it is a weak KB-operator.