Abstract.
We discuss the optimality of a sufficient condition from [12] for a point to belong to the essential spectrum of a Toeplitz operator with a bounded measurable coefficient. Our approach is based on a new sufficient condition for a composition of a Muckenhoupt weight with a Blaschke product to belong to the same Muckenhoupt class.
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The first author was partially supported by CONACYT project U46936-F, Mexico.
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Grudsky, S., Shargorodsky, E. Spectra of Toeplitz Operators and Compositions of Muckenhoupt Weights with Blaschke Products. Integr. equ. oper. theory 61, 63–75 (2008). https://doi.org/10.1007/s00020-008-1583-8
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DOI: https://doi.org/10.1007/s00020-008-1583-8