On characterizing Riesz spaces \(C(X)\) without Yosida representation

DOI10.1007/S11117-012-0185-5zbMath1285.46022OpenAlexW2023119823MaRDI QIDQ369635

Miroslav Hušek, Antonio Pulgarín

Publication date: 19 September 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-012-0185-5

zbMATH Keywords

weak order unitArchimedean Riesz spacecharacterizations of \(C(X)\)locally uniformly complete

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

• Unnamed Item
• General approach to characterizations of \(C(X)\)
• \(C(X)\)-objects in the category of semi-affine lattices
• Riesz spaces of real continuous functions
• Zero-separating algebras of continuous functions
• \(C(X)\) as a real \(\ell \)-group
• The order topology for function lattices and realcompactness
• Eine Charakterisierung der vollständig regulären Räume
• On the structure of a class of archimedean lattice-ordered algebras
• Short Proof of an Internal Characterization of Complete Regularity
• Approximation in Systems of Real-Valued Continuous Functions
• A Note on Complete Separation in the Stone Topology
• Separating Chains in Topological Spaces
• On the representation of the vector lattice

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