2008 | OriginalPaper | Chapter
Higher-order Asymptotic Formulas for Toeplitz Matrices with Symbols in Generalized Hölder Spaces
Author : Alexei Yu. Karlovich
Published in: Operator Algebras, Operator Theory and Applications
Publisher: Birkhäuser Basel
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We prove higher-order asymptotic formulas for determinants and traces of finite block Toeplitz matrices generated by matrix functions belonging to generalized Hölder spaces with characteristic functions from the Bari-Stechkin class. We follow the approach of Böttcher and Silbermann and generalize their results for symbols in standard Hölder spaces.