Continuous selections of the inverse numerical range map

DOI10.1080/03081087.2015.1043717zbMath1383.15022arXiv1502.00955OpenAlexW1614828782MaRDI QIDQ2789403

Parth Parihar, Brian Lins

Publication date: 29 February 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00955

zbMATH Keywords

continuous selectionsnumerical rangefield of valuesinverse continuity

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Selections in general topology (54C65) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

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Cites Work

• The computation of isotropic vectors
• Continuous selections. I
• Continuous selections. II
• On the numerical range of a bounded operator
• Differential topology of numerical range
• Perturbation theory for linear operators.
• Continuity properties of vectors realizing points in the classical field of values
• Inverse continuity on the boundary of the numerical range
• Pre-images of boundary points of the numerical range
• A method for the inverse numerical range problem
• Numerical Measure of a Complex Matrix
• An inverse field of values problem
• A simple algorithm for the inverse field of values problem
• The Toeplitz-Hausdorff Theorem Explained
• Über den Wertevorrat einer Matrix
• The measure of the critical values of differentiable maps

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