On transition multimeasures with values in a Banach space
Nikolaos Papageorgiou (1990)
Studia Mathematica
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Nikolaos Papageorgiou (1990)
Studia Mathematica
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I. Dobrakov, T. V. Panchapagesan (2004)
Studia Mathematica
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For Banach-space-valued functions, the concepts of 𝒫-measurability, λ-measurability and m-measurability are defined, where 𝒫 is a δ-ring of subsets of a nonvoid set T, λ is a σ-subadditive submeasure on σ(𝒫) and m is an operator-valued measure on 𝒫. Various characterizations are given for 𝒫-measurable (resp. λ-measurable, m-measurable) vector functions on T. Using them and other auxiliary results proved here, the basic theorems of [6] are rigorously established.
J. Doob (1948)
Colloquium Mathematicae
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C. Goffman, R. Zink (1960)
Fundamenta Mathematicae
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Ivan Dobrakov (1979)
Czechoslovak Mathematical Journal
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Ivan Dobrakov (1988)
Czechoslovak Mathematical Journal
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S. Tarkowski (1970)
Colloquium Mathematicae
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