Ranges of vector measures in Fréchet spaces

DOI10.1016/S0019-3577(00)88569-9zbMath0980.46033OpenAlexW2006827934MaRDI QIDQ5935881

Santiago Diaz-Madrigal, José Bonet

Publication date: 28 June 2001

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

Full work available at URL: https://doi.org/10.1016/s0019-3577(00)88569-9

zbMATH Keywords

Fréchet spacescompact subsetrange of an \(E\)-valued measure of bounded variation

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Related Items

Around finite-dimensionality in functional analysis: a personal perspective, Compact integration operators for Fréchet-space-valued measures.

Cites Work

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• Generalized Hilbert spaces
• Completeness of \(L^1\)-spaces for measures with values in complex vector spaces
• Rybakov's theorem for vector measures in Fréchet spaces
• The Range of a Vector Measure Determines its Total Variation
• Banach Spaces in Which Every Compact Lies Inside the Range of a Vector Measure
• Existence of Bade functionals for complete Boolean algebras of projections in Fréchet spaces
• Sequences in the Range of a Vector Measure with Bounded Variation