The Selgrade decomposition for linear semiflows on Banach spaces
Dynamical Systems
2017-01-20 v1
Abstract
We extend Selgrade's Theorem, Morse spectrum, and related concepts to the setting of linear skew product semiflows on a separable Banach bundle. We recover a characterization, well-known in the finite-dimensional setting, of exponentially separated subbundles as attractor-repeller pairs for the associated semiflow on the projective bundle.
Keywords
Cite
@article{arxiv.1701.05295,
title = {The Selgrade decomposition for linear semiflows on Banach spaces},
author = {Alex Blumenthal and Yuri Latushkin},
journal= {arXiv preprint arXiv:1701.05295},
year = {2017}
}
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26 pages