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Zbl 1220.47007
Singh, R.K.
Spectral mapping theorems and stability theory in linear dynamical systems. (English)
[J] Ann. Funct. Anal. AFA 1, No. 1, 59-71, electronic only (2010). ISSN 2008-8752/e

The spectral properties of the operators inducing linear dynamical systems on Banach spaces determine the asymptotic properties of the systems. In this paper, an interaction between the spectral mapping properties of operators and stability properties of the corresponding dynamical systems is presented.
[Bilender P. Allahverdiev (Isparta)]
MSC 2000:
*47A11 Local spectral properties
47B37 Operators on sequence spaces, etc.
46A40 Ordered topological linear spaces
37C75 Stability theory

Keywords: functional homomorphisms; dynamical systems; spectral mapping properties; operators; stability of dynamical systems; abstract Cauchy problems

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