Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators II

Modified positive linear operators, iterates and systems of linear equations

“…Section 2 is devoted to the Kantorovich modification of linking operators. They were introduced in [16] and studied in [3]. We complete their study with respect to the limit of the iterates and the invariant measure.…”

Generalized Kantorovich modifications of positive linear operators

“…Examples 2.1 and 2.2 extend some known constructions from the literature. Using results from [13], [11], (see also [2], [3], [5], [7], [12]), we describe the eigenstructure of the modified operators.…”

“…The invariant measures and the iterates of positive linear operators were intensively investigated; see, e.g., [2], [3], [5], [7], [12]. Section 4 is concerned with invariant measures and iterates of our modified operators.…”