A Vector Lattice Topology and Function Space Representation

DOI10.2307/1998214zbMath0344.46057OpenAlexW4235346674MaRDI QIDQ4112925

James F. Porter, William A. Feldman

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1998214

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological linear spaces, vector lattices (46A40)

Related Items (3)

A vector lattice representation theorem and a characterization of locally compact Hausdorff spaces ⋮ Banach lattices with locally compact representation spaces ⋮ M-spaces with quasi-interior points

Cites Work

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• Locally convex topological vector lattices and their representations
• Compact convergence and the order bidual for C(X)
• Topological M-spaces
• Notes on a characterization of function algebras
• Espaces de Riesz, espaces di fonctions et espaces de sections
• Closed l-ideals in a class of lattice-ordered algebras
• Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
• On the structure of a class of archimedean lattice-ordered algebras
• Order Units and Base Norms Generalized for Convex Spaces
• Approximation in Systems of Real-Valued Continuous Functions
• Linear functionals on spaces of continuous functions

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