✍ Scribed by Dario A. Bini, Torsten Ehrhardt, Alexei Yu. Karlovich, Ilya Spitkovsky (eds.)
No coin nor oath required. For personal study only.
This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Böttcher’s 60th birthday. Albrecht Böttcher himself has made substantial contributions to the subject in the past. The book also includes a biographical essay, a complete bibliography of Albrecht Böttcher’s work and brief informal notes on personal encounters with him.
The book is of interest to graduate and advanced undergraduate students majoring in mathematics, researchers in matrix and operator theory as well as engineers and applied mathematicians.
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
Linear and Multilinear Algebras, Matrix Theory;Operator Theory
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