Some properties of the spectral radius of a monic operator polynomial with nonnegative compact coefficients

DOI10.1007/BF01198938zbMath0767.47004OpenAlexW2012300483MaRDI QIDQ1191286

B. Nagy, Karl-Heinz Förster

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf01198938

zbMATH Keywords

resolventspectral radiusgeneralized eigenspaceslinear non-negative compact operators acting on a Banach latticemonic operator polynomialnegative compact operator

Mathematics Subject Classification ID

Banach lattices (46B42) Eigenvalue problems for linear operators (47A75) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operators on ordered spaces (47B60)

Related Items (4)

Local spectral radii and Collatz-Wielandt numbers of monic operator polynomials with nonnegative coefficients ⋮ On the peripheral spectrum of monic operator polynomials with positive coefficients ⋮ A primer of Perron--Frobenius theory for matrix polynomials ⋮ On spectra of expansion graphs and matrix polynomials

Cites Work

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• On the Collatz-Wielandt numbers and the local spectral radius of a nonnegative operator
• One-parameter semigroups of positive operators
• An introduction to operator polynomials
• Spectral analysis of matrix polynomials. I. Canonical forms and divisors
• Eigenwerte von Operatorpolynomen
• A Guide to the Acceleration of Iterative Methods Whose Iteration Matrix is Nonnegative and Convergent

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