Stability and almost periodicity of asymptotically dominated semigroups of positive operators
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- by E. Yu. Emel’yanov, U. Kohler, F. Räbiger and M. P. H. Wolff PDF
- Proc. Amer. Math. Soc. 129 (2001), 2633-2642 Request permission
Abstract:
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.References
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Additional Information
- E. Yu. Emel’yanov
- Affiliation: Sobolev Institute of Mathematics at Novosibirsk, Universitetskii pr.4, 630090 Novosibirsk, Russia
- MR Author ID: 353198
- Email: emelanov@math.nsc.ru
- U. Kohler
- Affiliation: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
- Email: utko@michelangelo.mathematik.uni-tuebingen.de
- F. Räbiger
- Affiliation: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
- Email: frra@michelangelo.mathematik.uni-tuebingen.de
- M. P. H. Wolff
- Affiliation: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
- Email: manfred.wolff@uni-tuebingen.de
- Received by editor(s): October 29, 1998
- Received by editor(s) in revised form: January 7, 2000
- Published electronically: February 15, 2001
- Communicated by: Dale Alspach
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2633-2642
- MSC (2000): Primary 47D03, 47B65, 46B40, 46L99
- DOI: https://doi.org/10.1090/S0002-9939-01-05835-X
- MathSciNet review: 1838786