Rybakov's theorem for vector measures in Fréchet spaces

DOI10.1016/S0019-3577(97)83348-4zbMath0899.46026MaRDI QIDQ1359380

Antonio Fernández, Francisco Naranjo

Publication date: 12 November 1998

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

zbMATH Keywords

exposed pointsFréchet spacecontinuous normweakly compact subset\(X\)-valued, countably additive measure

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items

The Fréchet spaces \(ces(p+)\), \(1<p<\infty\) ⋮ Existence of Bade functionals for complete Boolean algebras of projections in Fréchet spaces ⋮ Interpolation between weighted Lorentz spaces with respect to a vector measure ⋮ Strictly positive linear functional and representation of Fréchet lattices with the Lebesgue property ⋮ Ranges of vector measures in Fréchet spaces ⋮ Spaces of \(p\)-integrable functions with respect to a vector measure ⋮ Completeness of \(L^1\)-spaces for measures with values in complex vector spaces ⋮ Compact integration operators for Fréchet-space-valued measures.

Cites Work

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• The structure of weakly compact sets in Banach spaces
• Integration with respect to vector measures
• Theorem of Bartle, Dunford, and Schwartz concerning vector measures
• Weak Compactness and Vector Measures
• Weak compactness in locally convex spaces
• Mutual Absolute Continuity of Sets of Measures