A remark on my paper “Regularly increasing functions in connection with the theory of -spaces”
W. Matuszewska (1965)
Studia Mathematica
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W. Matuszewska (1965)
Studia Mathematica
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J. Bourgain (1979)
Fundamenta Mathematicae
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Fred Smith (1970)
Fundamenta Mathematicae
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K. Krzyżewski (1963)
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.
Marek Balcerzak (1987)
Mathematica Slovaca
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