On the uniform density of \(C(X)\otimes C(Y)\) in \(C(X \times Y)\)

DOI10.1016/S0019-3577(09)00015-9zbMath1192.46004OpenAlexW2012103676MaRDI QIDQ1042750

P. D. Allenby, Coenraad C. A. Labuschagne

Publication date: 7 December 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(09)00015-9

zbMATH Keywords

uniform convergencespace of continuous functions

Mathematics Subject Classification ID

Banach lattices (46B42) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

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On the Boolean algebra tensor product via Carathéodory spaces of place functions ⋮ Tensor products of Archimedean partially ordered vector spaces ⋮ Two results on Fremlin's Archimedean Riesz space tensor product

Cites Work

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• The tensor product of Archimedean ordered vector spaces
• Riesz Reasonable Cross Norms on Tensor Products of Banach Lattices
• Tensor Products of Archimedean Vector Lattices
• Squares of Riesz spaces

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