Riesz spaces with the order-continuity property. I

DOI10.1017/S0305004100000244zbMath0344.46019OpenAlexW2166607700MaRDI QIDQ4112894

D. H. Fremlin

Publication date: 1977

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100000244

Mathematics Subject Classification ID

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

Related Items (11)

De Finetti's coherence and exchangeability in infinitary logic ⋮ Order continuity and regularity on vector lattices and on lattices of continuous functions ⋮ Unnamed Item ⋮ AM-totally boundedness on normed Riesz spaces ⋮ Some new results on the class of AM-compact operators ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ The order σ-complete vector lattice of AM-compact operators ⋮ Pointwise and order convergence for spaces of continuous functions and spaces of Baire functions ⋮ Some characterizations of compact operators on Banach lattices ⋮ Sur l’ideal d’ordre des operateurs AM-compacts ⋮ Compactness properties of operators dominated by AM-compact operators

Cites Work

• Homomorphisms of Riesz spaces
• Concerning \(\sigma\)-homomorphisms of Riesz spaces
• Intermediate Riesz spaces
• Almost σ-Dedekind Complete Riesz Spaces and the Main Inclusion Theorem
• Free Vector Lattices
• Riesz Seminorms with Fatou Properties

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