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The Virozub-Matsaev condition and spectrum of definite type for self-adjoint operator functions

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Publication:941062
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DOI10.1007/s11785-007-0032-zzbMath1177.47019OpenAlexW1972157696MaRDI QIDQ941062

Matthias Langer, Christiane Tretter, Alexander Markus, Heinz K. Langer

Publication date: 4 September 2008

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-007-0032-z


zbMATH Keywords

numerical rangespectrumselfadjoint operator function


Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operators on spaces with an indefinite metric (47B50)


Related Items

Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ Triple variational principles for self-adjoint operator functions ⋮ Relatively bounded perturbations of \(J\)-non-negative operators



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