Extended orthomorphisms on Archimedean Riesz spaces

DOI10.1007/BF01766018zbMath0526.46010MaRDI QIDQ595155

Michel Duhoux, Mathieu Meyer

Publication date: 1983

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Dedekind completionuniversal completionextended Archimedean Riesz spacelaterally complete Archimedean f- algebra

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40)

Related Items

Laterally closed lattice homomorphisms ⋮ On the centre of a vector lattice ⋮ σ-Weak Orthomorphisms ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ Unnamed Item ⋮ The order bidual of lattice ordered algebras

Cites Work

• Examples of orthomorphisms
• Order completeness and disjoint completeness of linear partially ordered spaces
• Richesses du centre d'un espace vectoriel reticule
• Groupes et anneaux reticules
• On the structure of a class of archimedean lattice-ordered algebras
• Order-Cauchy Completions of Rings and Vector Lattices of Continuous Functions
• A New Proof of the Lattice Structure of Orthomorphisms
• Nonweakly Compact Operators from Order-Cauchy Complete C(S) Lattices, with Application to Baire Classes
• Some remarks on orthomorphisms
• Inextensible Riesz spaces
• Measures on F-Spaces
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