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http://hdl.handle.net/20.500.12128/4924| Title: | Characterization of Caratheodory functions |
| Authors: | Nowak, Andrzej |
| Keywords: | Carathéodory function; Extension; Measurable selection |
| Issue Date: | 2013 |
| Citation: | Annales Mathematicae Silesianae, Nr 27 (2013), s. 93-98 |
| Abstract: | This paper deals with some interesting but rather technical questions about measurability. Suppose (T,T) is a measurable space, and X,Y are metric spaces. Given f:T×X→Y we define a new function F, mapping from T to the set of functions from X to Y, by F(t)(x)=f(t,x). Denote by C(X,Y) the space of continuous functions from X to Y endowed with the compact-open topology. |
| URI: | http://hdl.handle.net/20.500.12128/4924 |
| ISSN: | 0860-2107 2391-4238 |
| Appears in Collections: | Artykuły (WNŚiT) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Nowak_Characterization_of_Caratheodory_functions.pdf | 531 kB | Adobe PDF | View/Open |
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