Turkish Journal of Mathematics
Article Title
DOI
10.3906/mat-1904-27
Abstract
In the present article, we expose various properties of unbounded absolutely weak Dunford?Pettis and unbounded absolutely weak compact operators on a Banach lattice E. In addition to their topological and lattice properties, we investigate relationships between M-weakly compact operators, L-weakly compact operators, and order weakly compact operators with unbounded absolutely weak Dunford-Pettis operators. We show that the square of any positive uaw-Dunford-Pettis (M-weakly compact) operator on an order continuous Banach lattice is compact. Many examples are given to illustrate the essential conditions.
First Page
2731
Last Page
2740
Recommended Citation
ÖZCAN, NAZİFE ERKURŞUN; GEZER, NİYAZİ ANIL; and ZABETI, OMID
(2019)
"Unbounded absolutely weak Dunford-Pettis operators,"
Turkish Journal of Mathematics: Vol. 43:
No.
6, Article 6.
https://doi.org/10.3906/mat-1904-27
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss6/6
