Domination and ergodicity for positive semigroups-Reference-Cited by-同舟云学术

Domination and ergodicity for positive semigroups

Published:1992 Issue:3 Volume:114 Page:743-747
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Arendt W.,Batty C. J. K.

Abstract

In this note we study the conditions under which ergodicity is preserved by domination. As an application, the criterion for almost periodicity given by Ljubich-Phong [9] (see also Batty-Phong [4]) can be simplified for positive semigroups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-114-03/S0002-9939-1992-1072082-3/S0002-9939-1992-1072082-3.pdf

Reference10 articles.

1. Pure and Applied Mathematics;Aliprantis, Charalambos D.,1985

2. Tauberian theorems and stability of one-parameter semigroups;Arendt, W.;Trans. Amer. Math. Soc.,1988

3. Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations;Arendt, Wolfgang;SIAM J. Math. Anal.,1992

4. Stability of individual elements under one-parameter semigroups;Batty, Charles J. K.;Trans. Amer. Math. Soc.,1990

5. Positive one-parameter semigroups on ordered Banach spaces;Batty, Charles J. K.;Acta Appl. Math.,1984

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Semilinear elliptic equations on rough domains;Journal of Differential Equations;2023-02

2. Existence of Invariant Densities and Time Asymptotics of Conservative Linear Kinetic Equations on the Torus Without Spectral Gaps;Acta Applicandae Mathematicae;2021-09-17

3. Eventual domination for linear evolution equations;Mathematische Zeitschrift;2021-03-20

4. Long-term analysis of positive operator semigroups via asymptotic domination;Positivity;2019-02-19

5. Kato’s Inequality;Analysis and Operator Theory;2019