Characterization of the order weak compactness of semi-compact operators

DOI10.1016/J.JMAA.2009.01.072zbMath1190.47038OpenAlexW1974414010MaRDI QIDQ1022956

Aziz Elbour, Belmesnaoui Aqzzouz

Publication date: 10 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.01.072

zbMATH Keywords

Banach latticeKB-spaceorder weakly compact operatororder continuous normsemi-compact operator

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65)

Related Items (4)

Weak limited sets and operators on Banach lattices ⋮ Disjointly weak compactness in Banach lattices ⋮ L- and M-weak compactness of positive semi-compact operators ⋮ Some characterizations of Riesz spaces in the sense of strongly order bounded operators

Cites Work

• The duality problem for the class of b-weakly compact operators
• Banach lattices
• Semi-compactness of positive Dunford–Pettis operators on Banach lattices
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