Spectra, norms and numerical ranges of generalized quadratic operators

DOI10.1080/03081087.2010.483473zbMath1236.47006OpenAlexW2127053532MaRDI QIDQ3104546

Chi-Kwong Li, Masaru Tominaga, Yiu-Tung Poon

Publication date: 14 December 2011

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

Full work available at URL: https://doi.org/10.1080/03081087.2010.483473

zbMATH Keywords

normsspectraDavis-Wielandt shellelliptical rangesgeneralised numerical rangesgeneralised quadratic operator

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items (1)

On the Davis–Wielandt radius inequalities of Hilbert space operators

Cites Work

• The constrained bilinear form and the C-numerical range
• The ultimate estimate of the upper norm bound for the summation of operators
• Higher-rank numerical ranges and compression problems
• Higher rank numerical ranges and low rank perturbations of quantum channels
• Norm bounds for summation of two normal matrices.
• Matricial ranges of quadratic operators
• Commutators and compressions
• Quantum error correcting codes from the compression formalism
• On eigenvalues of sums of normal matrices
• Higher-rank numerical range in infinite-dimensional Hilbert space
• Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations
• Condition for the higher rank numerical range to be non-empty
• A conjecture of marcus on the generalized numerical range
• Some Results on the q-Numerical
• Numerical ranges and dilations^∗
• A simple proof of the elliptical range theorem
• Approximate antilinear eigenvalue problems and related inequalities
• Applications of polar decompositions of idempotent and 2-nilpotent operators

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