Weak Markov Operators

Hulya Duru; Serlan Ilter

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arXiv · 1806.03297

Weak Markov Operators

Hulya Duru·Serlan Ilter

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Abstract

Let $A$ and $B$ be $f$-algebras with unit elements $e_{A}$ and $e_{B}$ respectively. A positive operator $T$ from $A$ to $B$ satisfying $T\left( e_{A}\right) =e_{B}$ is called a Markov operator. In this definition we replace unit elements with weak order units and, in this case, call $T$ to be a weak Markov operator. In this paper, we characterize extreme points of the weak Markov operators.

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Hulya Duru, Serlan Ilter. 2018-06-08. Weak Markov Operators. https://arxiv.org/abs/1806.03297

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