Weak compactness of vector measures on topological spaces

• Autores: Surjit Singh Khurana
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 72, Fasc. 1-2, 2008, págs. 69-80
• Idioma: inglés
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• Resumen

  • Let X be a completely regular Hausdor® space, E a quasi-complete locally convex space, Cb(X) the space of all bounded, scalar-valued continuous functions on X, and B(X) and B0(X) be the classes of Borel and Baire subsets of X. We study the subsets of the spaces Mt(X;E), M¿ (X;E), M¾(X;E) of respectively tight, ¿-smooth, and ¾- smooth, E-valued measures on X for weak compactness.