On the transformation of unbounded convergent sequences by linear operators on Banach lattices
Year: 2026
Type: preprint
Abstract: In this paper, we introduce a weak variant of the concept of unbounded Dunford-Pettis linear operators, which we call unbounded weak Dunford-Pettis operators. We investigate the properties of this new class, establish inclusion and coincidence results involving unbounded Dunford-Pettis operators, and examine its relationship with the class of unbounded absolutely weakly continuous operators.
Source: arXiv (Cornell University)
Authors: Santos, Fabrício, Torres, Ewerton
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224024435