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- Title
Some Notes on b-Weakly Compact Operators.
- Authors
Mousavi Amiri, Masoumeh; Haghnejad Azar, Kazem
- Abstract
The main aim of this paper is studying the family W b (E , F) of b-weakly compact operators between two Banach lattices. For an order dense sublattice G of a vector lattice E, if T : G → F is a b-weakly compact operator between two Banach lattices, then T ∈ W b (E , F) whenever the norm of E is order continuous and T : E → F is a positive operator. We also investigate the relationship between W b (E , F) and some other classes of operators like L c (1) (E , F) and L c (2) (E , F) .
- Subjects
BANACH lattices; POSITIVE operators; RIESZ spaces; TRIANGULAR norms; COMPACT operators
- Publication
Bulletin of the Iranian Mathematical Society, 2020, Vol 46, Issue 5, p1533
- ISSN
1018-6301
- Publication type
Article
- DOI
10.1007/s41980-019-00340-1