Abstract
We have discovered in the finite-dimensional case that exponential functions enjoy some rather special spectral properties. Such properties are, for example, that the spectrum of a semigroup operator is determined by the spectrum of its generator, or, that the stability of a semigroup is guaranteed whenever the spectrum of its generator lies in the left half-plane.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Bátkai, A., Fijavž, M.K., Rhandi, A. (2017). Spectral Theory for Positive Semigroups. In: Positive Operator Semigroups. Operator Theory: Advances and Applications, vol 257. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-42813-0_12
Download citation
DOI: https://doi.org/10.1007/978-3-319-42813-0_12
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-42811-6
Online ISBN: 978-3-319-42813-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)