Warianty tytułu
Języki publikacji
Abstrakty
We study Carathéodory functions $f: D\to Y$, where $(T,\mathcal{T})$ is a measurable space, $X, Y$ are metric spaces and $D\subset T\times X$. In the case when $\mathcal{T}$ is complete and $Y$ is a separable Banach space, we give a characterization of such functions. (original abstract)
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Twórcy
autor
- University of Silesia in Katowice, Poland
Bibliografia
- Appell J., Väth M., The space of Carathéodory functions , in: Nonlinear analysis and related problems, Tr. Inst. Mat. (Minsk) 2 Natl. Acad. Nauk Belarusi, Inst. Mat., Minsk, 1999, pp. 39-43 (in Russian).
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- DeBlasi F.S., Myjak J., On the random Dugundji extension theorem, J. Math. Anal. Appl. 128 (1987), 305-311.
- Himmelberg C.J., Measurable relations, Fund. Math. 87 (1975), 53-72.
- Kechris A.S., Classical Descriptive Set Theory, Springer-Verlag, New York, 1994.
- Kucia A., Extending Carathéodory functions, Bull. Polish Acad. Sci. Math. 36 (1988), 593-601.
- Kucia A., Some results on Carathéodory selections and extensions, J. Math. Anal. Appl. 223 (1998), 302-318.
- Kuratowski K., Topology, Vol. II, Academic Press, New York, 1968.
- Wagner D.H., Survey of measurable selection theorems, SIAM J. Control 15 (1977), 859-903.
- Wagner D.H., Survey of measurable selection theorems: an update , in: Measure Theory, Oberwolfach 1979, Lecture Notes in Math., 794, Springer, Berlin-New York, 1980, pp. 176-219.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
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