Toeplitz Operators with Semi-Almost-Periodic Matrix Symbols on Hardy Spaces |
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| Authors: | A. Böttcher Yu. I. Karlovich I. Spitkovsky |
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| Affiliation: | (1) Fakultät für Mathematik, TU Chemnitz, 09107 Chemnitz, Germany;(2) Departamento de Matemáticas, CINVESTAV del I.P.N., Apartado Postal 14-740, 07000 México, D.F., México, e-mail;(3) Department of Mathematics, The College of William and Mary, Williamsburg, VA 23187-8795, USA |
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| Abstract: | We establish a Fredholm criterion and an index formula for Toeplitz operators with semi-almost-periodic matrix symbols on the Hardy spaces Hp (1<p< ). Our main result completes the Fredholm theory of the aforementioned operators and generalizes previous results, which concerned the case p=2 or were based on certain additional assumptions, such as factorizability, for the almost-periodic representatives of the symbol. |
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| Keywords: | Toeplitz operator Fredholm operator index formula almost periodic function spectrum essential spectrum |
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