Characterization of Carathéodory functions
Abstract
We study Carathéodory functions f: D→Y , where (T, 𝓣) is a measurable space, X, Y are metric spaces and D ⊂ T×X. In the case when 𝓣 is complete and Y is a separable Banach space, we give a characterization of such functions.
Keywords
Carathéodory function; extension; measurable selection
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Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
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