Crouzeix's conjecture and related problems
DOI10.1007/s40315-020-00350-9OpenAlexW3092949673WikidataQ122856284 ScholiaQ122856284MaRDI QIDQ2228045
Kelly Bickel, Thomas Ransford, Pamela Gorkin, Felix L. Schwenninger, Elias Wegert, Anne Greenbaum
Publication date: 16 February 2021
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.04901
numerical rangeshift operatorBlaschke productsnumerical radiusNevanlinna-Pick interpolationCrouzeix's conjecture
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional calculus for linear operators (47A60) Numerical range, numerical radius (47A12) Dilations, extensions, compressions of linear operators (47A20) Spectral sets of linear operators (47A25) Blaschke products (30J10)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convex domains and K-spectral sets
- Numerical range and functional calculus in Hilbert space
- A non-linear extremal problem on the Hardy space
- Extension of the theorems of Carathéodory-Toeplitz-Schur and Pick
- Numerical range and Poncelet property.
- Five problems on invariant subspaces
- UB-matrices and conditions for Poncelet polygon to be closed
- Bounds for analytical functions of matrices
- A proof of Crouzeix's conjecture for a class of matrices
- Numerical investigation of Crouzeix's conjecture
- Crouzeix's conjecture and perturbed Jordan blocks
- A counterexample to a conjecture of Matsaev
- The condition numbers of the matrix eigenvalue problem
- The powers of an operator of numerical radius one
- Harmonic analysis of operators on Hilbert space
- Model spaces: A survey
- Numerical range ofs(φ)
- Remarks on the Crouzeix--Palencia Proof that the Numerical Range is a (1+\sqrt2)-Spectral Set
- Crouzeix's Conjecture Holds for Tridiagonal 3 x 3 Matrices with Elliptic Numerical Range Centered at an Eigenvalue
- Finite Blaschke Products and Their Connections
- Some Extensions of the Crouzeix--Palencia Result
- Spectral sets and operator radii
- Generalization of von Neumann's spectral sets and integral representation of operators
- Roots of Matrices in the Study of GMRES Convergence and Crouzeix's Conjecture
- The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
- Polynomial bounds for small matrices
- Generalized Interpolation in H ∞
- On the Interpolation of Bounded Sequences by Bounded Functions
- On Some Interpolation Problems for Analytic Functions
This page was built for publication: Crouzeix's conjecture and related problems