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Unbounded absolutely weak Dunford-Pettis operators
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Date
2019-01-01
Author
ERKURŞUN ÖZCAN, NAZİFE
Gezer, Niyazi Anıl
Zabeti, Omid
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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
Journal
TURKISH JOURNAL OF MATHEMATICS
DOI
https://doi.org/10.3906/mat-1904-27
Collections
Department of Mathematics, Article