A remark on the representation of vector lattices as spaces of continuous real-valued functions

DOI10.1007/BF00046632zbMath0802.46016OpenAlexW4251311916MaRDI QIDQ685136

Wolfgang Filter, Yuri A. Abramovich

Publication date: 30 September 1993

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00046632

zbMATH Keywords

universally complete vector latticeArchimedean vector latticeextremally disconnected compact Hausdorff spaceOgasawara-Maeda-Vulikh representation theoremrepresentation by bounded functions

Mathematics Subject Classification ID

Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

Representations of Archimedean Riesz spaces. - A survey

Cites Work

• Unnamed Item
• Unique Representation of Archimedean Lattice Groups and Normal Archimedean Lattice Rings
• A Representation Theory for Lattice-Groups

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