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

Spurný, Jiří. "Banach space valued mappings of the first Baire class contained in usco mappings." Commentationes Mathematicae Universitatis Carolinae 48.2 (2007): 269-272. <http://eudml.org/doc/250216>.

@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 -