On transition multimeasures with values in a Banach space
Nikolaos Papageorgiou (1990)
Studia Mathematica
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Displaying similar documents to “A continuity in the weak topologies of a vector integral operator.”
On transition multimeasures with values in a Banach space
The weak Radon-Nikodym property in Banach spaces
Kazimierz Musiał (1979)
Studia Mathematica
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Duality of linear spaces of functions and nuclearity of solution spaces
Yukio Kömura (1970)
Studia Mathematica
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Inserting measurable functions precisely
Javier Gutiérrez García, Tomasz Kubiak (2014)
Czechoslovak Mathematical Journal
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A family of subsets of a set is called a -topology if it is closed under arbitrary countable unions and arbitrary finite intersections. A -topology is perfect if any its member (open set) is a countable union of complements of open sets. In this paper perfect -topologies are characterized in terms of inserting lower and upper measurable functions. This improves upon and extends a similar result concerning perfect topologies. Combining this characterization with a -topological version...
Pełczyński's Property (V) on spaces of vector-valued functions
Narcisse Randrianantoanina (1996)
Colloquium Mathematicae
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On measurability of vector-valued functions with respect to operators-valued measures
Soledad Rodriguez Salazar (1986)
Extracta Mathematicae
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A generalized Pettis measurability criterion and integration of vector functions
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.
On projection measurability of functions and multifunctions
Jozef Dravecký, Ivan Kupka, Miroslav Pakanec (1992)
Mathematica Slovaca
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Weak compactness criteria for set valued integrals and Radon Nikodym Theorem for vector valued multimeasures
Diomedes Bárcenas (2001)
Czechoslovak Mathematical Journal
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Some criteria for weak compactness of set valued integrals are given. Also we show some applications to the study of multimeasures on Banach spaces with the Radon-Nikodym property.