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Article

Bartoszek, Wojciech
On uniformly smoothing stochastic operators. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 1, pp. 203-206
MSC: 47A35, 47B07, 47B38, 47B55, 47B65, 47D07 | MR 1334427 | Zbl 0843.47018
Keywords:
stochastic operators; quasi-compact
Summary:
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).
References:
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