Zero-separating algebras of continuous functions

DOI10.1016/j.topol.2006.03.030zbMath1115.06013OpenAlexW1967986388MaRDI QIDQ886308

N. E. Zubov

Publication date: 26 June 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2006.03.030

zbMATH Keywords

uniform convergencecontinuous functionslattice-ordered algebracompact convergence topologylocally m-convex algebraseparating chain

Mathematics Subject Classification ID

Topological lattices, etc. (topological aspects) (54H12) General theory of topological algebras (46H05) Real-valued functions in general topology (54C30) Ordered topological structures (06F30) Ordered rings, algebras, modules (06F25)

Related Items (5)

On characterizing Riesz spaces \(C(X)\) without Yosida representation ⋮ \(C(X)\)-objects in the category of semi-affine lattices ⋮ \(C(X)\) as a lattice: a generalized problem of Birkhoff and Kaplansky ⋮ \(C(X)\) as a real \(\ell \)-group ⋮ Riesz spaces of real continuous functions

Cites Work

• The order topology for function lattices and realcompactness
• A characterization of the topology of compact convergence on \({\mathcal C}(X)\)
• Order topologies on \(l\)-algebras.
• A characterization of \(C_k(X)\) for \(X\) normal and realcompact
• Functional representation of topological algebras
• Certain generalizations of the Weierstrass approximation theorem
• Closed ideals in topological algebras: A characterization of the topological Φ-algebra C k (x)
• Uniqueness of the Uniform Norm with an Application to Topological Algebras
• Separating Chains in Topological Spaces
• A characterization of \(C_k(X)\) as a Fréchet \(f\)-algebra

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