Products and convolutions of vector valued set functions
James Huneycutt (1972)
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James Huneycutt (1972)
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J. Crenshaw, R. Kirk (1979)
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Costley, Charles G. (1972)
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V. Srivatsa (1984)
Fundamenta Mathematicae
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Eliza Wajch (1991)
Czechoslovak Mathematical Journal
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W. Orlicz (1968)
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Annales de l'institut Fourier
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We prove that all measurable functionals on certain function spaces are measures; this improves the (known) results about weak sequential completeness of spaces of measures. As an application, we prove several results of this form: if the space of invariant functionals on a function space is separable then every invariant functional is a measure.