Abstract
We establish Fredholm criteria and index formulas for Toeplitz operators with semialmost periodic matrix-valued symbols on the Hardy spaces corresponding toL p spaces on the real line with Muckenhoupt weight. In the scalar case, these results imply descriptions of the spectrum and, in particular, invertibility criteria.
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Research supported by the Alfried Krupp Förderpreis für junge Hochschullehrer of the Krupp-Stiftung
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Böttcher, A., Karlovich, Y.I. & Spitkovsky, I.M. Toeplitz operators with semi-almost periodic symbols on spaces with Muckenhoupt weight. Integr equ oper theory 18, 261–276 (1994). https://doi.org/10.1007/BF01206293
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DOI: https://doi.org/10.1007/BF01206293