2020/06/10 by Mina Matin, Matin, Mina, Kazem Haghnejad Azar +3
Mathematics · #46C05 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary 46B42 #Secondary 46A40
paper · pdf · doi:10.48550/arxiv.2006.05857
openalex publication_date 2020/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study un-dual (in symbol, \udE) of Banach lattice E and compare it with topological dual E^*. If E^* has order continuous norm, then E^* = \udE. We introduce and study weakly unbounded norm topology (wun-topology) on Banach lattices and compare it with weak topology and uaw-topology. In the final, we introduce and study wun-Dunford-Pettis opertors from a Banach lattice E into Banach space X and we investigate some of its properties and its relationships with others known operators.