Geodesic
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 
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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/