Bøger af Albrecht Bottcher

A revised introduction to the advanced analysis of block Toeplitz operators including recent research. Topics range from the analysis of locally sectorial matrix functions to Toeplitz and Wiener-Hopf determinants. This will appeal to both graduate students and specialists in the theory of Toeplitz operators.

Focuses on the application of functional analysis and operator theory to some concrete asymptotic problems of linear algebra. This text is useful for graduate students, teachers, and researchers for those who have to deal with infinite matrices and their large truncations.

This self-contained introduction to the behavior of several spectral characteristics of large Toeplitz band matrices is the first systematic presentation of a relatively large body of knowledge. Covering everything from classic results to the most recent developments, it is an important resource.