Continuity of the Sacker–Sell spectrum on the half line

DOI10.1080/14689367.2017.1293613zbMath1388.39010OpenAlexW2588104716MaRDI QIDQ4606982

Christian Poetzsche

Publication date: 9 March 2018

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2017.1293613

zbMATH Keywords

robust stabilityexponential dichotomydifference equationshift operatordichotomy spectrumSacker-Sell spectrumnonautonomous hyperbolicity

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Stability theory for difference equations (39A30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Continuity and invariance of the Sacker-Sell spectrum
• On the dichotomic behavior of discrete dynamical systems on the half-line
• Fine structure of the dichotomy spectrum
• Robustness of stability of time-varying linear systems
• Geometric theory of discrete nonautonomous dynamical systems
• Remarks on the stability of linear infinite-dimensional discrete-time systems
• Operators that are points of spectral continuity
• Geometric theory of semilinear parabolic equations
• Operators that are points of spectral continuity. II
• A spectral theory for linear differential systems
• The concept of spectral dichotomy for linear difference equations
• Exponential dichotomies and transversal homoclinic points
• A note on Fort's theorem
• Lyapunov and Sacker-Sell spectral intervals
• The dichotomy spectrum for noninvertible systems of linear difference equations
• Computing Sacker–Sell spectra in Discrete Time Dynamical Systems
• Spectral Theory of Operators on Hilbert Spaces
• Mathematical Systems Theory I
• Spectral Pictures of Hyponormal Bilateral Operator Weighted Shifts
• On stability radii of infinite–dimensional time–varying discrete––time systems
• The concept of spectral dichotomy for linear difference equations II
• PROPERTIES OF A κTH ROOT OF A HYPONORMAL OPERATOR
• A Unicellular Universal Quasinilpotent Weighted Shift
• Spectral continuity of k-th roots of hyponormal operators
• On the class of paranormal operators
• Approximate Point Spectrum of a Weighted Shift
• Topological properties of paranormal operators on Hilbert space
• Shorter Notes: Some Operator Monotone Functions
• The essential selfcommutator of a subnormal operator
• Spectral theory of linear operators and spectral systems in Banach algebras
• Dichotomy spectrum for nonautonomous differential equations

This page was built for publication: Continuity of the Sacker–Sell spectrum on the half line