On uniformly smoothing stochastic operators
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 203-206
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We show that a stochastic operator acting on the Banach lattice $L^1(m)$ of all $m$-integrable functions on $(X,\,\Cal A)$ is quasi-compact if and only if it is uniformly smoothing (see the definition below).
Classification :
47A35, 47B07, 47B38, 47B55, 47B65, 47D07
Keywords: stochastic operators; quasi-compact
Keywords: stochastic operators; quasi-compact
@article{CMUC_1995__36_1_a21,
author = {Bartoszek, Wojciech},
title = {On uniformly smoothing stochastic operators},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {203--206},
publisher = {mathdoc},
volume = {36},
number = {1},
year = {1995},
mrnumber = {1334427},
zbl = {0843.47018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1995__36_1_a21/}
}
Bartoszek, Wojciech. On uniformly smoothing stochastic operators. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 203-206. http://geodesic.mathdoc.fr/item/CMUC_1995__36_1_a21/