Unbounded absolutely weak Dunford-Pettis operators

Date

2019-01-01

Author

ERKURŞUN ÖZCAN, NAZİFE
Gezer, Niyazi Anıl
Zabeti, Omid

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

0
views

0
downloads

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.

Subject Keywords

Banach lattice, uaw-Dunford-Pettis operator, Uaw-Convergence

URI

https://hdl.handle.net/11511/56895

Collections

Department of Mathematics, Article