AM-compactness of positive Dunford-Pettis operators on banach lattices
Copyright policy )AM-compactness of positive Dunford-Pettis operators on banach lattices
The authors characterize Banach lattices \(E, F\) where each positive order weakly compact operator from \(E\) into \(F\) is a Dunford-Pettis operator. They further give a characterization of Banach lattices \(E,F\) where each positive Dunford-Pettis operator from \(E\) into \(F\) is AM-compact. They also consider the converse of the last theorem.
- Mohammed V University Morocco
- Université Ibn-Tofail Morocco
Banach lattices, AM-compact operator, order-continuous norm, Linear operators defined by compactness properties, Dunford-Pettis operator, Positive linear operators and order-bounded operators, Ordered topological linear spaces, vector lattices, Ordered normed spaces, discrete Banach lattice
Banach lattices, AM-compact operator, order-continuous norm, Linear operators defined by compactness properties, Dunford-Pettis operator, Positive linear operators and order-bounded operators, Ordered topological linear spaces, vector lattices, Ordered normed spaces, discrete Banach lattice
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!