Blaschke products, level sets, and Crouzeix's conjecture
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Publication:6565894
DOI10.1007/s11854-023-0295-yMaRDI QIDQ6565894
Publication date: 2 July 2024
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Basic linear algebra (15Axx) General theory of linear operators (47Axx) Function theory on the disc (30Jxx)
Cites Work
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- Ellipses and compositions of finite Blaschke products
- Zero-dilation indices of KMS matrices
- One-component inner functions
- Convex domains and K-spectral sets
- Numerical range and functional calculus in Hilbert space
- A non-linear extremal problem on the Hardy space
- Analytic functions sharing level curves and tracts
- Some characterizations of finite Blaschke products of positive degree
- Numerical ranges and Poncelet curves
- Carleson measures for functions orthogonal to invariant subspaces
- Condition for the numerical range to contain an elliptic disc
- 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 related problems
- Norms of truncated Toeplitz operators and numerical radii of restricted shifts
- The symmetric versions of Rouché's theorem via \(\bar{\partial}\)-calculus
- Unicritical Blaschke products and domains of ellipticity
- Crouzeix's conjecture and perturbed Jordan blocks
- Inscribed ellipses and Blaschke products
- Bounded analytic functions and Gleason parts
- Harmonic analysis of operators on Hilbert space
- Sines and Cosines of Angles in Arithmetic Progression
- Two-dimensional shapes and lemniscates
- Complete spectral sets and numerical range
- On the numerical radius of the truncated adjoint Shift
- One-Component Inner Functions II
- The Level Sets of the Moduli of Functions of Bounded Characteristic
- Level Curves of Inner Functions
- Shorter Notes: A Uniqueness Theorem for Monic Blaschke Products
- The Numerical Radius of a Nilpotent Operator on a Hilbert Space
- Numerical range ofs(φ)
- The formula of riemann-hurwitz and iteration of rational functions
- On Critical Points of Proper Holomorphic Maps on The Unit Disk
- Ellipses and Finite Blaschke Products
- 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
- Weighted Bernstein-type inequalities, and embedding theorems for the model subspaces
- A sharpened Schwarz-Pick operatorial inequality for nilpotent operators
- A characterization of one‐component inner functions
- Extension Problems and Stable Ranks
- Roots of Matrices in the Study of GMRES Convergence and Crouzeix's Conjecture
- The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
- Numerical Ranges of KMS Matrices
- Generalized Interpolation in H ∞
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