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ArticleOriginal scientific text

Title

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

Authors 1

Affiliations

  1. Institute of Mathematics, Silesian University, 40-007 Katowice, Poland

Abstract

Asymptotic convergence theorems for nonnegative operators on Banach lattices, on L∞, on C(X) and on Lp(1≤p<∞) are proved. The general results are applied to a class of integral operators on L¹.

Keywords

ENG
nonnegative operator, exponentially stationary operator, integral operator, lower function

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Annales Polonici Mathematici
1998/68/1
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Pages:
1-16
Main language of publication
English
Received
1994-11-14
Accepted
1995-07-12
Published
1998
Exact and natural sciences