Remarks on the Crouzeix--Palencia Proof that the Numerical Range is a (1+\sqrt2)-Spectral Set

DOI10.1137/17M1143757MaRDI QIDQ4604569

Felix L. Schwenninger, Thomas Ransford

Publication date: 2 March 2018

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08633

zbMATH Keywords

numerical rangeCauchy transformspectral setCrouzeix's conjecture

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Spectral sets of linear operators (47A25)

Related Items (7)

Between the von Neumann inequality and the Crouzeix conjecture ⋮ Joint numerical ranges: recent advances and applications minicourse by V. Müller and Yu. Tomilov ⋮ Numerical range and compressions of the shift ⋮ Crouzeix's conjecture and related problems ⋮ Some Extensions of the Crouzeix--Palencia Result ⋮ Dilation theory in finite dimensions and matrix convexity ⋮ Spectral Sets: Numerical Range and Beyond

Cites Work

• Convex domains and K-spectral sets
• Numerical range and functional calculus in Hilbert space
• Bounds for analytical functions of matrices
• Some Extensions of the Crouzeix--Palencia Result
• Generalization of von Neumann's spectral sets and integral representation of operators
• The Numerical Range is a $(1+\sqrt{2})$-Spectral Set

This page was built for publication: Remarks on the Crouzeix--Palencia Proof that the Numerical Range is a (1+\sqrt2)-Spectral Set