Asymptotic behaviour of the iterates of nonnegative operators on a Banach lattice
Volume 68 / 1998
Annales Polonici Mathematici 68 (1998), 1-16
DOI: 10.4064/ap-68-1-1-16
Abstract
Asymptotic convergence theorems for nonnegative operators on Banach lattices, on $L^{∞}$, on C(X) and on $L^p(1 ≤ p < ∞)$ are proved. The general results are applied to a class of integral operators on L¹.
