Disjointness preserving operators on complex Riesz spaces

DOI10.1023/A:1009746711470zbMath0909.47029OpenAlexW2056914585MaRDI QIDQ1380152

Charles B. Huijsmans, Jacobus J. Grobler

Publication date: 8 April 1999

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009746711470

zbMATH Keywords

functional calculus\(\sigma\)-Dedekind completeness\(Z\)-extension propertycomplex Riesz spacesorder bounded disjointness preserving operatorproduct of a Riesz homomorphism and an orthomorphism

Mathematics Subject Classification ID

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

Related Items (7)

Lateral order on complex vector lattices and narrow operators ⋮ New axiomatizable classes of Banach spaces via disjointness-preserving isometries ⋮ Gleason-Kahane-Zelasko type theorems for complex Riesz algebras ⋮ A strongly diagonal power of algebraic order bounded disjointness preserving operators ⋮ Maximal ideals of disjointness preserving operators ⋮ Polar decomposition of order bounded disjointness preserving operators ⋮ Problems of existence of order copies of \(\ell ^\infty\) and \(L_p(\nu )\) in some non-Banach Köthe spaces

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