Analysis of Toeplitz operators
A revised introduction to the advanced analysis of block Toeplitz operators including recent research. This book builds on the success of the first edition which has been used as a standard reference for fifteen years. 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.
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analogously analytic approximate identity argument assertion assume Banach algebra Banach space Blaschke product Bottcher bounded C*-algebra C*-subalgebra clos closed subalgebra closed subset closed two-sided ideal commutative compact compact operator completes the proof continuous converges Corollary coset deduce define Definitions dist easily seen equals exists finite section method formula Fourier coefficient Fredholm Fredholm theory Gelfand Gelfand transform given gives Hankel operators Hence Hilbert space homeomorphic implies Ind T(a index zero invertible isometrical isomorphism kernel Khvedelidze weight Krupnik left-invertible Lemma linear locally sectorial mapping matrix function maximal antisymmetric set maximal ideal space norm Note open neighborhood Poisson kernel proof of Proposition proof of Theorem proved recall Remark resp satisfied sequence Shilov boundary Silbermann spectrum suppose symbols Toeplitz operators whence Wiener-Hopf