Maximal ideals of disjointness preserving operators

DOI10.1016/j.jmaa.2005.09.038zbMath1106.47063OpenAlexW2027836306MaRDI QIDQ2506406

Karim Boulabiar, Fethi Ben Amor

Publication date: 28 September 2006

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.2005.09.038

zbMATH Keywords

regular operatorvector latticelattice isomorphismdisjointness preservingcontinuous functions spacesmaximal order ideal

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40) Operator ideals (47L20)

Related Items (4)

Composition operators on \(f\)-algebras ⋮ A Characterization of Rieszn-Morphisms and Applications ⋮ On order bounded disjointness preserving operators ⋮ Extension and factorization of Riesz \(n\)-morphisms on pre-Riesz spaces

Cites Work

• Banach lattices
• Examples of orthomorphisms
• Intermediate Riesz spaces
• Disjointness preserving operators on complex Riesz spaces
• A characterization of operators preserving disjointness in terms of their inverse
• Biseparating maps and homeomorphic real-compactifications
• When is a separating map biseparating?
• Stone-Čech compactification of a product
• Automatic Continuity of Separating Linear Isomorphisms
• On the structure of a class of archimedean lattice-ordered algebras
• Invertible disjointness preserving operators
• Polar decomposition of order bounded disjointness preserving operators
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