On set functions with values in a topological vector space
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Summary
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.
Keywords
Vector Space Compactness Condition Simple Measure Topological Vector Space Weak Topology
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
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Copyright information
© Nicola Zanichelli Editore 1972