On superpositionally measurable multifunctions

Andrzej Spakowski

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Displaying similar documents to “On superpositionally measurable multifunctions”

On superpositionally measurable semi-Carathéodory multifunctions

Wojciech Zygmunt (1992)

Commentationes Mathematicae Universitatis Carolinae

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For multifunctions $F : T \times X \to 2^{Y}$ , measurable in the first variable and semicontinuous in the second one, a relation is established between being product measurable and being superpositionally measurable.

Selection theorem in L¹

Andrzej Nowak, Celina Rom (2006)

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Let F be a multifunction from a metric space X into L¹, and B a subset of X. We give sufficient conditions for the existence of a measurable selector of F which is continuous at every point of B. Among other assumptions, we require the decomposability of F(x) for x ∈ B.

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C. J. Himmelberg, F. S. Van Vleck (1972)

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Beata Kubiś (2001)

Mathematica Bohemica

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We investigate the problem of approximation of measurable multifunctions by monotone sequences of measurable simple ones. Our main tool is the Marczewski function, i.e., the characteristic function of a sequence of sets.

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