Toeplitz Matrices and Singular Integral Equations: The Bernd Silbermann Anniversary Volume

ISBN-13: 9783034894715 / Angielski / Miękka / 2012 / 328 str.

Albrecht Bottcher; Israel Gohberg; P. Junghanns

Opis

This volume is dedicated to Bernd Silbermann on the oc- casion of his sixtieth birthday. It consists of selected papers devoted to the inexhaustible and ever-young fields of Toeplitz matrices and singular integral equations, and thus to areas Bernd Silbermann has been enriching by fundamental con- tributions for the last three decades. Most authors of this volume participated in the conference organized and sponsored by the Department of Mathematics (under the deans Dieter Happel and Jiirgen vom Scheidt) of the Chemnitz University of Technology in honor of Bernd Silbermann in Pobershau, April 8-12, 2001. The majority of the papers presented here are based on the talks given on that conference. We thank all contributors for their enthusiasm when preparing the articles for this volume. BERND SILBERMANN Operator Theory: Advances and Applications, Vol. 135, 1-12 (c) 2002 Birkhiiuser Verlag Basel/Switzerland Essay on Bernd Silbermann Albrecht Bottcher Bernd Silbermann was born on 6 April 1941 in Langhennersdorf, a village in Sax- ony. His parents were farmers. To this day, he is proud of his ability to drive a tractor. He went to school in Langhennersdorffrom 1947 to 1955, and in the sub- sequent two years he apprenticed to a grocer (and really sold fish). From 1958 to 1962 he attended a school in Chemnitz, and from 1962 to 1967, in the heyday of Soviet mathematics, he was a student of mathematics at the Lomonosov University in Moscow. His lecturers included such eminent mathematicians as P. S.

Spis treści

Essay on Bernd Silbermann.- Publications of Bernd Silbermann.- Toeplitz Corona Problem for Algebras of Almost Periodic Functions.- Sums of Idempotents in the Banach Algebra Generated by the Compact Operators and the Identity.- Asymptotic Formulas for the Determinants of Symmetric Toeplitz plus Hankel Matrices.- On the Determinant Formulas by Borodin, Okounkov, Baik, Deift and Rains.- On the Distance of a Large Toeplitz Band Matrix to the Nearest Singular Matrix.- Singular Integral Equations on Piecewise Smooth Curves in Spaces of Smooth Functions.- Spline Approximation Methods for the Biharmonic Dirichlet Problem on Non-smooth Domains.- On Rank Invariance of Schwarz-Pick-Potapov Block Matrices of Matrix-valued Carathéodory Functions.- Finite Section Method for Linear Ordinary Differential Equations Revisited.- Fast Algorithms for Skewsymmetric Toeplitz Matrices.- On Collocation Methods for Nonlinear Cauchy Singular Integral Equations.- Local method for nonlocal operators on Banach spaces.- Numerical Solution of Mellin Type Equations via Wiener-Hopf Equations.- A 1-parameter Scale of Closed Ideals Formed by Strictly Singular Operators.- Local Theory of the Fredholmness of Band-dominated Operators with Slowly Oscillating Coefficients.- More Inequalities and Asymptotics for Matrix Valued Linear Positive Operators: the Noncommutative Case.- Toeplitz Determinants, Random Matrices and Random Permutations.