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On the transformation of unbounded convergent sequences by linear operators on Banach lattices

arXiv Mathematics · WORLD · Mathematics · 10/27/2026, 12:00:00 AM

arXiv:2610.33289v1 Announce Type: new 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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