On $(h,k,\mu,\nu)$-trichotomy of evolution operators in Banach spaces
M. Megan, T. Ceausu, V. Crai
TL;DR
This paper explores various types of trichotomy with different growth rates for evolution operators in Banach spaces, providing characterizations using Lyapunov-type norms to deepen understanding of their stability properties.
Contribution
It introduces new concepts of trichotomy with diverse growth rates and links them to Lyapunov-type norm characterizations in Banach spaces.
Findings
Connections established between trichotomy concepts and Lyapunov norms
Characterizations of evolution operators with different growth rates
Enhanced understanding of stability in Banach space dynamics
Abstract
The paper considers some concepts of trichotomy with different growth rates for evolution operators in Banach spaces. Connections between these concepts and characterizations in terms of Lyapunov- type norms are given.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.