An intersection property of sets with positive measure
P. Erdös, H. Kestelman, C. Rogers (1963)
Colloquium Mathematicae
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P. Erdös, H. Kestelman, C. Rogers (1963)
Colloquium Mathematicae
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S. Taylor (1959)
Fundamenta Mathematicae
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James Foran (1976)
Fundamenta Mathematicae
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Ladislav Mišík (2001)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Kazimierz Musiał (1980)
Fundamenta Mathematicae
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Edward Marczewski (1953)
Fundamenta Mathematicae
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Jan Mycielski (1967)
Fundamenta Mathematicae
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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...