Spectral and asymptotic properties of resolvent-dominated operators-Reference-Cited by-同舟云学术

Spectral and asymptotic properties of resolvent-dominated operators

Published:2000-04 Issue:2 Volume:68 Page:181-201
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Räbiger Frank,Wolff Manfred P. H.

Abstract

AbstractLet A and B be (not necessarily bounded) linear operators on a Banach lattice E such that |(s – B)-1x|≤ (s – A)-1|x| for all x in E and sufficiently large s ∈ R. The main purpose of this paper is to investigate the relation between the spectra σ(B) and σ(A) of B and A, respectively. We apply our results to study asymptotic properties of dominated C0-semigroups.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

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