Numerical ranges of Foguel operators

DOI10.1016/j.laa.2020.10.017OpenAlexW3094134780MaRDI QIDQ2228132

Pei Yuan Wu, Kuo-Zhong Wang, Hwa-Long Gau

Publication date: 16 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2020.10.017

zbMATH Keywords

numerical rangenumerical radiusFoguel operatorFoguel-Halmos operator

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (3)

Numerical range of the Foguel–Halmos operator ⋮ Extremality of bounds for numerical radii of Foguel operators ⋮ Numerical ranges of some Foguel operators

Cites Work

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• The numerical range of a nonnegative matrix
• Matricial ranges of quadratic operators
• Some remarks on the spectra of Hermitian matrices
• The norm and modulus of a Foguel operator
• A polynomially bounded operator on Hilbert space which is not similar to a contraction
• Model theory and linear extreme points in the numerical radius unit ball
• On Foguel's Answer to Nagy's Question
• A Counterexample to a Problem of SZ.-Nagy

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