The quadratic numerical range of an analytic operator function

DOI10.1007/s11785-009-0019-zzbMath1204.47019OpenAlexW2007326998MaRDI QIDQ1958692

Christiane Tretter

Publication date: 4 October 2010

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

Full work available at URL: https://doi.org/10.1007/s11785-009-0019-z

zbMATH Keywords

resolventnumerical rangespectrumoperator function

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (4)

Pseudo numerical ranges and spectral enclosures ⋮ On the geometry of the quadratic numerical range for 2 × 2 block operator matrices ⋮ Spectral inclusion property for a class of block operator matrices ⋮ Some general quadratic numerical radius inequalities for the off-diagonal parts of $2 ⨉ 2$ block operator matrices

Cites Work

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• Classes of linear operators. Vol. I
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• Perturbation theory for linear operators.
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• On the lengths of Jordan chains for eigenvalues on the boundary of numerical range of quadratic operator polynomial
• Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials
• The Numerical Range of Self-Adjoint Quadratic Matrix Polynomials
• Numerical Range of Matrix Polynomials
• Compact perturbation of definite type spectra of self-adjoint quadratic operator pencils.
• A new concept for block operator matrices: The quadratic numerical range

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