Banach space valued mappings of the first Baire class contained in usco mappings

@article{Spurný2007,
abstract = {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.},
author = {Spurný, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Baire-one functions; usco map; usco-bounded sequence of continuous functions; Baire-one functions; usco map},
language = {eng},
number = {2},
pages = {269-272},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Banach space valued mappings of the first Baire class contained in usco mappings},
url = {http://eudml.org/doc/250216},
volume = {48},
year = {2007},
}

TY - JOUR
AU - Spurný, Jiří
TI - Banach space valued mappings of the first Baire class contained in usco mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2007
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 48
IS - 2
SP - 269
EP - 272
AB - 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.
LA - eng
KW - Baire-one functions; usco map; usco-bounded sequence of continuous functions; Baire-one functions; usco map
UR - http://eudml.org/doc/250216
ER -