Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics The Albrecht Böttcher Anniversary Volume

Front Matter....Pages i-xxvi
Albrecht Böttcher – 20 Years of Friendship and Joint Work....Pages 1-18
Salutatory with Regards from the Mathematics Students of Chemnitz....Pages 19-20
Essay on Albrecht Böttcher....Pages 21-36
Meeting Albrecht the Strong....Pages 37-39
The Beginning (the Way I Remember it)....Pages 41-46
Personal Address on the Occasion of Albrecht Böttcher’s 60th Birthday....Pages 47-49
Asymptotics of Eigenvalues for Pentadiagonal Symmetric Toeplitz Matrices....Pages 51-77
Echelon Type Canonical Forms in Upper Triangular Matrix Algebras....Pages 79-124
Asymptotic Formulas for Determinants of a Special Class of Toeplitz + Hankel Matrices....Pages 125-154
Generalization of the Brauer Theorem to Matrix Polynomials and Matrix Laurent Series....Pages 155-178
Eigenvalues of Hermitian Toeplitz Matrices Generated by Simple-loop Symbols with Relaxed Smoothness....Pages 179-212
On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential II....Pages 213-234
Useful Bounds on the Extreme Eigenvalues and Vectors of Matrices for Harper’s Operators....Pages 235-265
Fast Inversion of Centrosymmetric Toeplitz-plus-Hankel Bezoutians....Pages 267-300
On Matrix-valued Stieltjes Functions with an Emphasis on Particular Subclasses....Pages 301-352
The Theory of Generalized Locally Toeplitz Sequences: a Review, an Extension, and a Few Representative Applications....Pages 353-394
The Bézout Equation on the Right Half-plane in a Wiener Space Setting....Pages 395-411
On a Collocation-quadrature Method for the Singular Integral Equation of the Notched Half-plane Problem....Pages 413-462
The Haseman Boundary Value Problem with Slowly Oscillating Coefficients and Shifts....Pages 463-500
On the Norm of Linear Combinations of Projections and Some Characterizations of Hilbert Spaces....Pages 501-510
Pseudodifferential Operators in Weighted Hölder–Zygmund Spaces of Variable Smoothness....Pages 511-531
Commutator Estimates Comprising the Frobenius Norm – Looking Back and Forth....Pages 533-559
Numerical Ranges of 4-by-4 Nilpotent Matrices: Flat Portions on the Boundary....Pages 561-591
Traces on Operator Ideals and Related Linear Forms on Sequence Ideals (Part IV)....Pages 593-619
Error Estimates for the ESPRIT Algorithm....Pages 621-648
The Universal Algebra Generated by a Power Partial Isometry....Pages 649-662
Norms, Condition Numbers and Pseudospectra of Convolution Type Operators on Intervals....Pages 663-680
Paired Operators in Asymmetric Space Setting....Pages 681-702
Natural Boundary for a Sum Involving Toeplitz Determinants....Pages 703-718
A Riemann–Hilbert Approach to Filter Design....Pages 719-740