The property (d) and the almost limited completely continuous operators

2020/11/05 by Mary Lilian Lourenço, Lourenço, M. L., Vinícius C. C. Miranda +1
Mathematics · #46B42 #47B65 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2011.02890

openalex publication_date 2020/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study some geometric properties in Banach lattices and the class of almost limited completely continuous operators. For example, we study Banach lattices with the property (d) and we give a new characterization of this property concerning the solid hull of almost limited sets.

Related

• Some characterizations of almost limited sets and applications
• Almost Limited Sets in Banach Lattices
• On limited and almost limited operators between Banach lattices
• Disjointly Weak Compactness in Banach Lattices
• On the class of weak almost limited operators