SPECTRUM, NUMERICAL RANGE AND DAVIS-WIELANDT SHELL OF A NORMAL OPERATOR

DOI10.1017/S0017089508004564zbMath1167.47007OpenAlexW2041040987MaRDI QIDQ5302633

Yiu-Tung Poon, Chi-Kwong Li

Publication date: 8 January 2009

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089508004564

zbMATH Keywords

numerical rangenormal operatorDavis-Wielandt shell

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12)

Related Items (9)

Davis-Wielandt radius inequalities for off-diagonal operator matrices ⋮ Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number ⋮ Davis-Wielandt-Berezin radius inequalities of reproducing kernel Hilbert space operators ⋮ On the Davis–Wielandt radius inequalities of Hilbert space operators ⋮ Further refinements of Davis-Wielandt radius inequalities ⋮ Bounds for the Davis-Wielandt radius of bounded linear operators ⋮ New inequalities for Davis-Wielandt radius of Hilbert space operators ⋮ Two distance preservers of generalized numerical radii ⋮ On generalized Davis-Wielandt radius inequalities of semi-Hilbertian space operators

Cites Work

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• On extreme points of the joint numerical range of commuting normal operators
• On eigenvalues of sums of normal matrices

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