PreprintCC BY 4.0arXiv
On the transformation of unbounded convergent sequences by linear operators on Banach lattices
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.
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BibTeX
@misc{santos2026transformation,
title = {{On the transformation of unbounded convergent sequences by linear operators on Banach lattices}},
author = {Fabrício Santos and Ewerton Torres},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33289},
eprint = {2610.33289},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33289},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On the transformation of unbounded convergent sequences by linear operators on Banach lattices
AU - Fabrício Santos
AU - Ewerton Torres
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.33289
UR - https://arxiv.org/abs/2610.33289
AB - 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.
ER -