Abstract
In this chapter we continue our investigation of spectral properties of positive C 0-semigroups on Banach lattices and show how the Perron–Frobenius theory can be generalized to the infinite-dimensional setting. We also list some important properties of irreducible semigroups. We will see that many results valid for positive matrix semigroups continue to hold also in infinite dimensions.
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). Advanced Spectral Theory and Asymptotics. In: Positive Operator Semigroups. Operator Theory: Advances and Applications, vol 257. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-42813-0_14
Download citation
DOI: https://doi.org/10.1007/978-3-319-42813-0_14
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)