Some properties of uaw-Dunford-Pettis operators
Sanaa Boumnidel, Noufissa Hafidi
TL;DR
This paper explores new properties of uaw-Dunford-Pettis operators on Banach spaces and their relationships with other operator classes, also defining related properties for Banach lattices and weak* versions.
Contribution
It introduces and characterizes novel properties of uaw-Dunford-Pettis operators and their weak* counterparts, expanding understanding of operator classifications on Banach spaces.
Findings
New properties of uaw-Dunford-Pettis operators are established.
Relationships between these operators and other classes are analyzed.
A new property of Banach lattices is defined and characterized.
Abstract
This paper introduces and investigates novel properties of uaw-Dunford-Pettis operators on Banach spaces, exploring their relationships with other classes of operators. We further define and characterize new property of Banach lattices. Also we introduce and study the weak* version of uaw-Dunford-Pettis operator, highlighting their relationships with other classes of operators.
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