Three open problems in function theoretic operator theory
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Publication:6551452
DOI10.1090/CONM/799/16017MaRDI QIDQ6551452
Publication date: 7 June 2024
numerical rangeinvariant subspacecritical pointcomposition operatorcompression of the shift operator
Numerical range, numerical radius (47A12) Invariant subspaces of linear operators (47A15) Polynomials and rational functions of one complex variable (30C10) Cyclic vectors, hypercyclic and chaotic operators (47A16)
Cites Work
- Ellipses and compositions of finite Blaschke products
- One-component inner functions
- The numerical range of \(3 \times 3\) matrices
- Fredholm multiplication and composition operators on the Hardy space
- Numerical range and functional calculus in Hilbert space
- A proof of Ilieff's conjecture for polynomials with four zeros
- A non-linear extremal problem on the Hardy space
- On a conjecture of Sendov about the critical points of a polynomial
- On the invariant subspace problem for Banach spaces
- On Ilieff's conjecture
- Proof of the Sendov conjecture for polynomials of degree at most eight
- Numerical range and Poncelet property.
- Numerical ranges and Poncelet curves
- Numerical range circumscribed by two polygons
- Carleson measures for functions orthogonal to invariant subspaces
- Bounds for analytical functions of matrices
- On the Sendov conjecture for polynomials with at most six distinct roots
- A proof of Crouzeix's conjecture for a class of matrices
- Numerical investigation of Crouzeix's conjecture
- Crouzeix's conjecture and related problems
- Crouzeix's conjecture and perturbed Jordan blocks
- Inscribed ellipses and Blaschke products
- Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos
- Invariant subspaces of polynomially compact operators
- On Ilyeff's conjecture
- Harmonic analysis of operators on Hilbert space
- Invariant subspaces of completely continuous operators
- Introduction to model spaces and their operators
- Composition operators on Hardy spaces of a half-plane
- Borcea’s Variance Conjectures on the Critical Points of Polynomials
- Linear Algebra Done Right
- Universal shifts and composition operators
- Four Theorems with Their Foci on Ellipses
- On models for linear operators
- One-Component Inner Functions II
- The Level Sets of the Moduli of Functions of Bounded Characteristic
- Level Curves of Inner Functions
- A Solution to the Invariant Subspace Problem
- A Solution to the Invariant Subspace Problem on the Space l 1
- A Simple Verification of Ilieff's Conjecture for Polynomials With Three Zeros
- A proof of the sendov conjecture for polynomials of degree seven
- On the Sendov Conjecture for Sixth Degree Polynomials
- Numerical range ofs(φ)
- Ellipses and Finite Blaschke Products
- Ueber eine neue analytische Behandlungsweise der Brennpunkte.
- 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
- Similarity to an isometry of a composition operator
- Weighted Bernstein-type inequalities, and embedding theorems for the model subspaces
- THE SENDOV CONJECTURE FOR POLYNOMIALS WITH AT MOST SEVEN DISTINCT ZEROS
- A characterization of one‐component inner functions
- Universal composition operators
- On Universal Operators and Universal Pairs
- Handbook of the Mathematics of the Arts and Sciences
- The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
- Sendov conjecture for high degree polynomials
- Generalized Interpolation in H ∞
- Composition Operators
- On the Zeros of a Polynomial and its Derivative
- Universal Operators and Invariant Subspaces
- A Note on the Location of Critical Points of Polynomials
- 3-by-3 matrices with elliptical numerical range revisited
- On the Critical Points of Functions Possessing Central Symmetry on the Sphere
- The strong Gauss–Lucas theorem and analyticity of correlation functions via the Lee–Yang theorem
- Spectral theory of linear operators and spectral systems in Banach algebras
- Sendov's conjecture for sufficiently-high-degree polynomials
- Blaschke products, level sets, and Crouzeix's conjecture
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