Recent Progress on Truncated Toeplitz Operators
From MaRDI portal
Publication:2866159
DOI10.1007/978-1-4614-5341-3_15zbMath1277.47040arXiv1108.1858OpenAlexW1716543746MaRDI QIDQ2866159
Stephan Ramon Garcia, William T. Ross
Publication date: 13 December 2013
Published in: Blaschke Products and Their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.1858
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)
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Cites Work
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- Unitary equivalence to a complex symmetric matrix: low dimensions
- Boundary values in range spaces of co-analytic truncated Toeplitz operators
- Symbols of truncated Toeplitz operators
- Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators
- Aluthge transforms of complex symmetric operators
- Derivation-invariant subspaces of \(C^{\infty}\)
- Unbounded Toeplitz operators
- On a \(J\)-polar decomposition of a bounded operator and matrices of \(J\)-symmetric and \(J\)-skew-symmetric operators
- A non-linear extremal problem on the Hardy space
- On the Nehari problem for a certain class of \(L^{\infty}\)-functions appearing in control theory
- Invariant subspaces of \({\mathcal H}^ 2\) of an annulus
- The commutant lifting approach to interpolation problems
- On the Nehari problem for a certain class of \(L^{\infty}\) functions appearing in control theory. II
- Introduction to large truncated Toeplitz matrices
- Multipliers between invariant subspaces of the backward shift
- Simply invariant subspaces of \(H^2\) of some multiply connected regions
- On the closure of the complex symmetric operators: compact operators and weighted shifts
- Is every matrix similar to a Toeplitz matrix?
- Complex symmetric partial isometries
- On local spectral properties of complex symmetric operators
- Orthogonal similarity of a real matrix and its transpose
- Unitary equivalence to a complex symmetric matrix: an algorithm
- Remarks on the structure of complex symmetric operators
- Nonself-adjoint operators with almost Hermitian spectrum: matrix model. I
- A remark on the Volterra operator
- Cyclic vectors and invariant subspaces of the backward shift operator
- On functions orthogonal to invariant subspaces
- On the algebra generated by Toeplitz matrices
- One dimensional perturbations of restricted shifts
- Interpolations by bounded analytic functions and the corona problem
- Harmonic analysis of operators on Hilbert space
- A note on Aluthge transforms of complex symmetric operators and applications
- Spatial isomorphisms of algebras of truncated Toeplitz operators
- Unitary equivalence of a matrix to its transpose
- Algebras of truncated Toeplitz operators
- Some new classes of complex symmetric operators
- Complex symmetric operators and applications II
- Variational principles for symmetric bilinear forms
- On an extremal problem of Garcia and Ross
- Unitary equivalence to a complex symmetric matrix: geometric criteria
- Truncated Toeplitz operators on finite dimensional spaces
- Unbounded operators commuting with restricted backward shifts
- Radial Limits and Star Invariant Subspaces of Bounded Mean Oscillation
- Toeplitz Operators on Bergman Spaces
- On the norm closure problem for complex symmetric operators
- Complex symmetric weighted shifts
- Unitary equivalence to truncated Toeplitz operators
- The Norm of a Truncated Toeplitz Operator
- C*-algebras Generated by Truncated Toeplitz Operators
- The characteristic function of a complex symmetric contraction
- Unitary equivalence to a truncated Toeplitz operator: analytic symbols
- The class of complex symmetric operators is not norm closed
- Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle
- Algebraic properties of truncated Toeplitz operators
- Toeplitz determinants, Fisher-Hartwig symbols, and random matrices
- Generalized Interpolation in H ∞
- The 𝐶*-algebra generated by an isometry
- The C ∗ -Algebra Generated by an Isometry. II
- Radial Limits and Invariant Subspaces
- Complex symmetric operators and applications
- Large scale detection of half-flats in CAT(0)-spaces
- \(C^*\)-algebras by example
- Not every matrix is similar to a Toeplitz matrix