Spectral Properties of Banded Toeplitz Matrices

Bottcher (mathematics, Chemnitz University of Technology, Germany) and Grudsky (mathematics, Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional, Mexico) offer a self-contained introduction to the behavior of several spectral characteristics of large Toeplitz band matrices, covering classic results through recent developments. The authors' approach combines functional analytical methods with hard analysis and application of operator theoretical methods to matrix theory. The book is written for applied mathematicians, engineers, and scientists who encounter Toeplitz matrices in their research. Parts of the text are suitable for use as a graduate-level text on Toeplitz matrices or analysis. Annotation c2006 Book News, Inc., Portland, OR (booknews.com)

Albrecht Bottcher is Professor of Mathematics at Chemnitz University of Technology, Germany. He is author or coauthor of seven books and approximately 140 research papers, and he is on the editorial board of three mathematics journals and one book series. In 1992 he received the Alfried Krupp Award for Young University Teachers and in 1997 the Ferran Sunyer i Balaguer Prize.Sergei M. Grudsky is Professor of Mathematics at Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional (CINVESTAV del I.P.N.) in Mexico City and also Professor of Mathematics at the Faculty of Mechanics and Mathematics at Rostov-on-Don State University, Russia. He is author or coauthor of three books and approximately 80 research papers.