Geodesic
Banach space valued mappings of the first Baire class contained in usco mappings
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 2, pp. 269-272

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We prove that any Baire-one usco-bounded function from a metric space to a closed convex subset of a Banach space is the pointwise limit of a usco-bounded sequence of continuous functions.
We prove that any Baire-one usco-bounded function from a metric space to a closed convex subset of a Banach space is the pointwise limit of a usco-bounded sequence of continuous functions.
Classification : 26A21, 54C60, 54E45
Keywords: Baire-one functions; usco map; usco-bounded sequence of continuous functions 
Spurný, Jiří. Banach space valued mappings of the first Baire class contained in usco mappings. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 2, pp. 269-272. http://geodesic.mathdoc.fr/item/CMUC_2007_48_2_a7/
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     author = {Spurn\'y, Ji\v{r}{\'\i}},
     title = {Banach space valued mappings of the first {Baire} class contained in usco mappings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {269--272},
     year = {2007},
     volume = {48},
     number = {2},
     mrnumber = {2338094},
     zbl = {1199.54125},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2007_48_2_a7/}
}
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