Smooth measures, the Malliavin calculus and approximations in infinitedimensional spaces
V. I. Bogachev (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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V. I. Bogachev (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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V. I. Bogachev (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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V. I. Bogachev (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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K. David Elworthy (1976)
Mémoires de la Société Mathématique de France
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Ricardo Faro Rivas, Juan A. Navarro, Juan Sancho (1994)
Extracta Mathematicae
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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...