Presents a unique source of biographical data and personal encounters concerning Albrecht Böttcher

Describes the current state of the spectral theory of Toeplitz operators, asymptotic behaviour of structured matrices

Includes a wide range of applications

Publications of Albrecht Böttcher.- Albrecht Böttcher - 20 Years of Friendship and Joint Work.- Salutatory with regards from the mathematics students of Chemnitz.- Essay on Albrecht Böttcher.- Meeting Albrecht the Strong.- The beginning (the way I remember it).- Personal Address on the Occasion of Albrecht Böttcher's 60th Birthday.- Asymptotics of eigenvalues for pentadiagonal symmetric Toeplitz matrices.- Echelon type canonical forms in upper triangular matrix algebras.- Asymptotic formulas for determinants of a special class of Toeplitz + Hankel matrices.- Generalization of the Brauer Theorem to Matrix Polynomials and Matrix Laurent Series.- Eigenvalues of Hermitian Toeplitz matrices generated by simple-loop symbols with relaxed smoothness.- On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential II.- Useful bounds on the extreme eigenvalues and vectors of matrices for Harper's operators.- Fast inversion of centrosymmetricToeplitz-plus-Hankel Bezoutians.- On Matrix-Valued Stieltjes Functions with an Emphasis on Particular Subclasses.- The theory of Generalized Locally Toeplitz sequences: a review, an extension, and a few representative applications.- The Bézout equation on the right half plane in a Wiener space setting.- On a collocation-quadrature method for the singular integral equation of the notched half plane problem.- The Haseman Boundary Value Problem with Slowly Oscillating Coefficients and Shifts.- On the Norm of Linear Combinations of Projections and Some Characterizations of Hilbert Spaces.- Pseudodifferential Operators in Weighted Hölder-Zygmund Spaces of Variable Smoothness.- Commutator estimates comprising the Frobenius norm - Looking back and forth.- Numerical Ranges of 4-by-4 Nilpotent Matrices: Flat Portions on the Boundary.- Traces on operator ideals and related linear forms on sequence ideals (part IV).- Error estimates for the ESPRIT algorithm.- The universal algebra generated by apower partial isometry.- Norms, condition numbers and pseudospectra of convolution type operators on intervals.- Paired operators in asymmetric space setting.- Natural Boundary for a Sum Involving Toeplitz Determinants.- A Riemann-Hilbert Approach to Filter Design.