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2010 Spectral mapping theorems and stability theory in linear dynamical systems
R. K. Singh
Ann. Funct. Anal. 1(1): 59-71 (2010). DOI: 10.15352/afa/1399900994

Abstract

The spectral properties of the operators inducing linear dynamical systems on Banach spaces determine the asymptotic properties of the systems. In this note an interaction between the spectral mapping properties of operators and stability properties of the corresponding dynamical systems is presented.

Citation

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R. K. Singh. "Spectral mapping theorems and stability theory in linear dynamical systems." Ann. Funct. Anal. 1 (1) 59 - 71, 2010. https://doi.org/10.15352/afa/1399900994

Information

Published: 2010
First available in Project Euclid: 12 May 2014

zbMATH: 1220.47007
MathSciNet: MR2755460
Digital Object Identifier: 10.15352/afa/1399900994

Subjects:
Primary: 47A11
Secondary: 37C75 , 46E40 , 47B37

Keywords: abstract Cauchy problems , dynamical systems , Functional homomorphisms , operators , spectral mapping properties , stability of dynamical systems

Rights: Copyright © 2010 Tusi Mathematical Research Group

Vol.1 • No. 1 • 2010
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