Approximation in Systems of Real-Valued Continuous Functions

DOI10.2307/1993659zbMath0175.14301OpenAlexW4233243162MaRDI QIDQ5563712

Frank W. Anderson

Publication date: 1962

Full work available at URL: https://doi.org/10.2307/1993659

zbMATH Keywords

functional analysis

Mathematics Subject Classification ID

Functional analysis (46-XX)

Related Items (17)

Topology of uniform convergence and \(m\)-topology on \(C(X)\) ⋮ On l-groups of uniformly continuous functions. I: Approximation theory ⋮ On \(l\)-groups of uniformly continuous functions. II: Representation theory. III: Proximity spaces ⋮ On characterizing Riesz spaces \(C(X)\) without Yosida representation ⋮ On the Hewitt Realcompactification of a Product Space ⋮ Uniform density and M−density for subrings of C(X) ⋮ General approach to characterizations of \(C(X)\) ⋮ A Note on Complete Separation in the Stone Topology ⋮ Clopen linear subspaces and connectedness in function spaces ⋮ Strong Whitney and strong uniform convergences on a bornology ⋮ Uniform approximation theorems for real-valued continuous functions ⋮ \(C(X)\)-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 ⋮ Closed ideals in topological algebras: A characterization of the topological Φ-algebra C k (x) ⋮ Nonnormality or hereditary paracompactness of some spaces of real functions ⋮ A Vector Lattice Topology and Function Space Representation

Cites Work

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• A generalization of normed rings
• On the Weierstrass-Stone approximation theorem
• F-Rings of Continuous Functions I
• A Class of Function Algebras
• On the structure of a class of archimedean lattice-ordered algebras
• Applications of the Theory of Boolean Rings to General Topology
• Rings of Real-Valued Continuous Functions. I
• Topological Rings
• Approximation in, and Representation of, Certain Banach Algebras
• A representation theory for commutative topological algebra
• On ideals in rings of continuous functions

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