Monotone approximation of measurable multifunctions by simple multifunctions
Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 113-117
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We investigate the problem of approximation of measurable multifunctions by monotone sequences of measurable simple ones. Our main tool is the Marczewski function, i.e., the characteristic function of a sequence of sets.
DOI :
10.21136/MB.2001.133920
Classification :
26E25, 28A20, 28B20, 54C60
Keywords: measurable multifunction; Marczewski function; Vietoris topology; simple multifunction
Keywords: measurable multifunction; Marczewski function; Vietoris topology; simple multifunction
@article{10_21136_MB_2001_133920,
author = {Kubi\'s, Beata},
title = {Monotone approximation of measurable multifunctions by simple multifunctions},
journal = {Mathematica Bohemica},
pages = {113--117},
publisher = {mathdoc},
volume = {126},
number = {1},
year = {2001},
doi = {10.21136/MB.2001.133920},
mrnumber = {1826475},
zbl = {0980.28007},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133920/}
}
TY - JOUR AU - Kubiś, Beata TI - Monotone approximation of measurable multifunctions by simple multifunctions JO - Mathematica Bohemica PY - 2001 SP - 113 EP - 117 VL - 126 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133920/ DO - 10.21136/MB.2001.133920 LA - en ID - 10_21136_MB_2001_133920 ER -
%0 Journal Article %A Kubiś, Beata %T Monotone approximation of measurable multifunctions by simple multifunctions %J Mathematica Bohemica %D 2001 %P 113-117 %V 126 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133920/ %R 10.21136/MB.2001.133920 %G en %F 10_21136_MB_2001_133920
Kubiś, Beata. Monotone approximation of measurable multifunctions by simple multifunctions. Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 113-117. doi: 10.21136/MB.2001.133920
Cité par Sources :