
doi: 10.1007/bf02412016
Spaces of set functions defined on a σ-ring and taking values in a topological vector space are supplied with a certain weak topology. Their continuous duals are characterized; certain subsets (the set of simple measures) are singled out and studied and compactness conditions are given. Finally the properties of metrizability, normality, barreledness and of being semi-Montel are studied in connection with these spaces.
Spaces of vector- and operator-valued functions, Vector-valued set functions, measures and integrals, Vector-valued measures and integration
Spaces of vector- and operator-valued functions, Vector-valued set functions, measures and integrals, Vector-valued measures and integration
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