Factorization of a selfadjoint nonanalytic operator function. II: Single spectral zone

DOI10.1007/BF01205293zbMath0778.47015OpenAlexW2076842578MaRDI QIDQ2367201

Alexander Markus, Vladimir Matsaev

Publication date: 17 August 1993

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

Full work available at URL: https://doi.org/10.1007/bf01205293

zbMATH Keywords

linearizationpseudoanalytic extensionsselfadjoint nonanalytic operator functionsimilar to a selfadjoint operatorsingle spectral zonesmooth and everywhere invertible operator-valued function

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)

Related Items

Some remarks on factorization of selfadjoint matrix functions, A class of nonlinear equations in Hilbert space and its application to completeness problems, Spectral Decomposition of Symmetric Operator Matrices, A note on Riesz bases of eigenvectors for a class of nonanalytic operator functions, Basis problems for matrix valued functions, Compact perturbation of definite type spectra of self-adjoint quadratic operator pencils., Self-adjoint analytic operator functions and their local spectral function, On basis properties of selfadjoint operator functions, Conditions for eigenvectors of a selfadjoint operator-function to form a basis

Cites Work

• Principal part of resolvent and factorization of an increasing nonanalytic operator-function
• On the basis property of the eigenvectors of a holomorphic selfadjoint operator-valued function
• The spectral properties of a certain class of self-adjoint operator functions
• Zur Spektraltheorie polynomialer Scharen selbstadjungierter Operatoren
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