Turkish Journal of Mathematics
Abstract
In operator theory characterizing extreme points has been systematically studied in a convex set of linear operators from an algebra to another. This paper presents some new characterizations. We define pre-Markov operators and identify when the second adjoint of a linear positive operator being an extreme point in the collection of all Markov operators between the unital second order duals of two unital f-algebras. Moreover a characterization of extreme points is given in the collection of all contractive operators between unital f-algebras. In addition, we give a condition that makes an order bounded algebra homomorphism is a lattice homomorphism.
DOI
10.3906/mat-1910-59
Keywords
Markov operator, f-algebra, algebra homomorphism, lattice homomorphism, contractive operator, Arens multiplication
First Page
2166
Last Page
2173
Recommended Citation
DURU, H, & İLTER, S (2020). Pre-Markov operators. Turkish Journal of Mathematics 44 (6): 2166-2173. https://doi.org/10.3906/mat-1910-59
