Riesz spaces of real continuous functions

DOI10.1007/S11117-009-0031-6zbMath1206.46027OpenAlexW2095108661MaRDI QIDQ707871

D. Kharzeev

Publication date: 8 October 2010

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-009-0031-6

zbMATH Keywords

weak order unitArchimedean Riesz space\(e\)-semisimple\(e\)-separating\(e\)-uniformly complete2-universally \(e\)-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)

Related Items (2)

On characterizing Riesz spaces \(C(X)\) without Yosida representation ⋮ \(C(X)\) as a lattice: a generalized problem of Birkhoff and Kaplansky

Cites Work

• Zero-separating algebras of continuous functions
• The order topology for function lattices and realcompactness
• 2-universally complete Riesz spaces and inverse-closed Riesz spaces
• Separating Chains in Topological Spaces
• On the representation of the vector lattice
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