On compact measures

Edward Marczewski

Displaying similar documents to “On compact measures”

On the role of an intersection property in measure theory - I

Schaerf, H.M. (1949)

Portugaliae mathematica

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On quasi-compact measures

Czesław Ryll-Nardzewski (1953)

Fundamenta Mathematicae

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Conical measures and vector measures

Igor Kluvánek (1977)

Annales de l'institut Fourier

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Every conical measure on a weak complete space $E$ is represented as integration with respect to a $σ$ -additive measure on the cylindrical $σ$ -algebra in $E$ . The connection between conical measures on $E$ and $E$ -valued measures gives then some sufficient conditions for the representing measure to be finite.

Remarks on the compactness and non direct products of measures

Edward Marczewski, Czesław Ryll-Nardzewski (1953)

Fundamenta Mathematicae

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A class of Caratheodory outer measures in topological spaces

Wilbur, John (1973)

Portugaliae mathematica

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On the average of inner and outer measures

D. Fremlin (1991)

Fundamenta Mathematicae

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On the role of an intersection property in measure theory - II

Schaerf, H.M. (1951)

Portugaliae mathematica

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Conical measures and properties of a vector measure determined by its range

L. Rodríguez-Piazza, M. Romero-Moreno (1997)

Studia Mathematica

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We characterize some properties of a vector measure in terms of its associated Kluvánek conical measure. These characterizations are used to prove that the range of a vector measure determines these properties. So we give new proofs of the fact that the range determines the total variation, the σ-finiteness of the variation and the Bochner derivability, and we show that it also determines the (p,q)-summing and p-nuclear norm of the integration operator. Finally, we show that Pettis derivability...

From finite to countable additivity

Maharam, Dorothy (1987)

Portugaliae mathematica

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