On the peripheral spectrum of monic operator polynomials with positive coefficients

DOI10.1007/BF01200331zbMath0759.47014MaRDI QIDQ1194225

René T. Rau

Publication date: 27 September 1992

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

zbMATH Keywords

spectral radiuspositive operatorsglobal linearizationcomplex Banach latticespectral structure of a monic operator polynomial

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Additive difference equations (39A10) Positive linear operators and order-bounded operators (47B65) Matrix and operator functional equations (39B42)

Related Items

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

Cites Work

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• An introduction to operator polynomials
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• Über Lancasters Zerlegung von Matrizen - Scharen
• Jordan chains for lambda matrices
• Über das Spektrum positiver Operatoren
• Über einen Satz von F. Niiro und I. Sawashima