On the domination of limited and order Dunford-Pettis operators

DOI10.1007/s40316-015-0036-4zbMath1350.46018OpenAlexW2143302711MaRDI QIDQ891810

N. E. Zubov

Publication date: 17 November 2015

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-015-0036-4

zbMATH Keywords

order continuous normDedekind \(\sigma\)-complete Banach latticelimited operatororder limited operatororder-Dunford-Pettis operatorweak\(^*\) sequentially continuous lattice operations

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65)

Related Items (6)

On the class of disjoint limited completely continuous operators ⋮ Operators affiliated to Banach lattice properties and their enveloping norms ⋮ Some new results on L-weakly compact sets and applications ⋮ Some properties of almost interval-preserving operators ⋮ On the class of almost (L) limited operators ⋮ Unnamed Item

Cites Work

• Domination problems for strictly singular operators and other related classes
• Ideal properties of regular operators beween Banach lattices
• Compact operators in Banach lattices
• Banach lattices
• Dunford-Pettis sets in the space of Bochner integrable functions
• Compactness properties of operators dominated by AM-compact operators
• Limited Operators and Strict Cosingularity
• Dunford-Pettis Operators on Banach Lattices
• Converses for the Dodds–Fremlin and Kalton–Saab theorems
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