Weak Markov operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2018 English Publisher:National Library of SerbiaJournal:Filomat, volume 32, pages 5,453-5,457 (issn: 0354-5180, eissn: 2406-0933,

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Authors: Duru, Hūlya; Ilter, Serkan;

doi: 10.2298/fil1815453d

Weak Markov operators

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Abstract

Let A and B be f -algebras with unit elements eA and eB respectively. A positive operator T from A to B satisfying T(eA) = eB 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.

Keywords

Banach lattices, lattice homomorphism, Positive linear operators and order-bounded operators, weak order unit, \(f\)-algebra, weak Markov operator

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