Weak Markov Operators

2018/06/08 by Duru, Hulya, Ilter, Serlan
#46B42 #47B38 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1806.03297

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( e_A) =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.

Related

• Pre-Markov Operators
• Exploding Markov operators
• Markov elements in affine Temperley-Lieb algebras
• Weights of Markov Traces on Hecke algebras
• Doob equivalence and non-commutative peaking for Markov chains