$\sigma$-unbounded Dunford-Pettis operators on Banach lattices
Wang Zhangjun, Chen Zili, Chen Jinxi, Ouyang Miao
TL;DR
This paper introduces and studies a new class of operators called unbounded Dunford-Pettis operators on Banach lattices, exploring their properties and relationships with other operator classes.
Contribution
It defines the unbounded Dunford-Pettis operators and investigates their properties, relationships, and the structure of the space of these operators.
Findings
Characterization of unbounded Dunford-Pettis operators
Relationships with existing operator classes
Structural properties of the space of these operators
Abstract
We introduce a class of operators which is called unbounded Dunford-Pettis. In this paper, we study some properties of the operators, relationships with the other classes of operators and the space of these operators.
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Taxonomy
TopicsAdvanced Banach Space Theory · Approximation Theory and Sequence Spaces · Holomorphic and Operator Theory