Asymptotic behaviour of the iterates of nonnegative operators on a Banach lattice

Volume 68 / 1998

Jolanta Socała Annales Polonici Mathematici 68 (1998), 1-16 DOI: 10.4064/ap-68-1-1-16


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.


  • Jolanta Socała

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