Some Results on the q-Numerical

DOI10.1080/03081089808818539zbMath0899.15017OpenAlexW2024520725MaRDI QIDQ4386116

Hiroshi Nakazato, Chi-Kwong Li

Publication date: 15 November 1998

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

Full work available at URL: https://doi.org/10.1080/03081089808818539

zbMATH Keywords

algorithms\(q\)-numerical rangeDavis-Wielandt shelldecreasing concave function

Mathematics Subject Classification ID

Related Items (21)

The q-numerical range and the Davis-Wielandt shell of reducible 3 × 3 matrices ⋮ Theq-numerical ranges of normal operators ⋮ The \(q\)-numerical range of a reducible matrix via a normal operator ⋮ The \(q\)-numerical radius of weighted shift operators with periodic weights ⋮ The inverse \(q\)-numerical range problem and connections to the Davis-Wielandt shell and the pseudospectra of a matrix ⋮ Tracial bounds for multilinear Schur multipliers ⋮ q -Numerical radius inequalities for Hilbert space ⋮ On generalized numerical range of the Aluthge transformation. ⋮ Birkhoff-James approximate orthogonality sets and numerical ranges ⋮ Elliptical range theorems for generalized numerical ranges of quadratic operators ⋮ Generating curves of the inverse \(q\)-numerical ranges of 2-by-2 matrices ⋮ On theq-numerical range of matrices and matrix polynomials ⋮ Perturbation of the \(q\)-numerical radius of a weighted shift operator ⋮ Davis-Wielandt shell and \(q\)-numerical range ⋮ The \(q\)-numerical range of 3-by-3 weighted shift matrices ⋮ Spectra, norms and numerical ranges of generalized quadratic operators ⋮ Two distance preservers of generalized numerical radii ⋮ Theq-numerical range of matrix polynomials ⋮ The boundary of theq-numerical range of a reducible matrix ⋮ Definite triples of Hermitian matrices and matrix polynomials ⋮ The Perron eigenspace of nonnegative almost skew-symmetric matrices and Levinger's transformation

Cites Work

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• The constrained bilinear form and the C-numerical range
• Constrained extrema of bilinear functionals
• Joint ranges of Hermitian matrices and simultaneous diagonalization
• Some convexity theorems for the generalized numerical ranges
• Diameter and minimal width of the numerical range
• A generalized numerical range: the range of a constrained sesquilinear form
• On the boundary of theC-numerical range of a matrix
• The boundary of the range of a constrained sesquilinear form

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