On spectral characterization of nonuniform hyperbolicity
type: Item
instance of: scholarly article
title: On spectral characterization of nonuniform hyperbolicity
zbMATH Open document ID: 1457.37045
DOI: 10.1155/2017/6707649
author: Muna Abu Alhalawa
author: Davor Dragičević
published in: Journal of Function Spaces
publication date: 2018-01-12T00:00:00Z
review text: Summary: We give a complete functional theoretic characterization of tempered exponential dichotomies in terms of the invertibility of certain linear operators acting on a suitable Frechét space. In sharp contrast to previous results, we consider noninvertible linear cocycles acting on infinite-dimensional spaces. The principal advantage of our results is that they avoid the use of Lyapunov norms.
Mathematics Subject Classification ID: 37D25
Mathematics Subject Classification ID: 37C30
Mathematics Subject Classification ID: 46A04
zbMATH DE Number: 6825475
zbMATH Keywords: tempered exponential dichotomies
zbMATH Keywords: linear operators
zbMATH Keywords: Fréchet space
zbMATH Keywords: Lyapunov norms
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6707649
OpenAlex ID: W2771375082
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description: scientific article; zbMATH DE number 6825475