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On the positive weak almost limited operators

By Nabil Machrafi, Aziz Elbour, Kamal El Fahri and Khalid Bouras

Abstract

Using the concept of approximately order bounded sets with respect to a lattice seminorm, we establish some new characterizations of positive weak almost limited operators on Banach lattices. Consequently, we derive some results about the weak Dunford–Pettis* and the Dunford–Pettis* property of σ-Dedekind complete Banach lattices

Topics: Weak almost limited operator, The weak Dunford–Pettis* property, Banach lattice, Mathematics, QA1-939
Publisher: Elsevier
Year: 2015
DOI identifier: 10.1016/j.ajmsc.2015.02.001
OAI identifier: oai:doaj.org/article:f8ac2ce6c5fb4b039dffb446801b36db
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