Stability and almost periodicity of asymptotically dominated semigroups of positive operators

We discuss conditions such that strong stability and strong asymptotic compactness of a (discrete or continuous) semiflow defined on a subset in the positive cone of an ordered Banach space is preserved under asymptotic domination. This is used to show that on a Banach lattice with order continuous...

Full description

Saved in:
Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2001-09, Vol.129 (9), p.2633-2642
Main Authors: Emel’yanov, E. Yu, Kohler, U., Räbiger, F., Wolff, M. P. H.
Format: Article
Language:English
Subjects:
Asymptotic properties
Banach space
Business orders
Ergodic theory
Linear transformations
Mathematical lattices
Mathematical theorems
Periodicity
Research article
Semigroups
Topological compactness
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We discuss conditions such that strong stability and strong asymptotic compactness of a (discrete or continuous) semiflow defined on a subset in the positive cone of an ordered Banach space is preserved under asymptotic domination. This is used to show that on a Banach lattice with order continuous norm strong stability and almost periodicity of a (discrete or strongly continuous) semigroup of positive operators is preserved under asymptotic domination.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-01-05835-X