Dichotomy, discrete Bohl exponents, and spectrum of block weighted shifts

DOI10.1007/BF01200554zbMath0751.47014OpenAlexW1999733981MaRDI QIDQ1179067

Asher Ben-Artzi, Israel Gohberg

Publication date: 26 June 1992

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200554

zbMATH Keywords

block matrixBohl exponentsblock weighted shift operatorexistence of dichotomiessplitting projections

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (14)

Continuity and invariance of the Sacker-Sell spectrum ⋮ The single-valued extension property for bilateral operator weighted shifts ⋮ Which functions may be the upper Bohl function of the diagonal discrete linear time-varying systems? ⋮ What types of functions may be the lower Bohl function of a diagonal discrete linear time-varying systems? ⋮ Classification of linear time-varying difference equations under kinematic similarity ⋮ Fine structure of the dichotomy spectrum ⋮ Relations between Bohl exponents and general exponent of discrete linear time-varying systems ⋮ Some relations between Bohl exponents and the exponential dichotomy spectrum ⋮ Stabilization of linear time varying systems over uncertain channels ⋮ A time-varying analogue of Jensen's formula ⋮ The essential spectrum and Banach reducibility of operator weighted shifts ⋮ Tradeoffs in linear time-varying systems: An analogue of Bode's sensitivity integral ⋮ A note on the dichotomy spectrum ⋮ A note on the dichotomy spectrum

Cites Work

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• Non-compact integral operators with semi-separable kernels and their discrete analogues: Inversion and Fredholm properties
• Inertia theorems for nonstationary discrete systems and dichotomy
• Dichotomies for linear difference equations
• Dichotomies for Band Matrices

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