Compactness and other questions in spaces of uniform measures
Pachl, Jan
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Pachl, Jan
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Jan K. Pachl (1976)
Commentationes Mathematicae Universitatis Carolinae
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A. Hulanicki (1966)
Studia Mathematica
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V. Mandrekar, M. Nadkarni, D. Patil (1970)
Studia Mathematica
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Alibert, J.J., Bouchitté, G. (1997)
Journal of Convex Analysis
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Schaerf, H.M. (1951)
Portugaliae mathematica
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W. Kulpa (1976)
Colloquium Mathematicae
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J. P. Reus Christensen, J. K. Pachl (1981)
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.