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Spectra of Toeplitz Operators and Compositions of Muckenhoupt Weights with Blaschke Products |
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| Authors: | Sergei Grudsky Eugene Shargorodsky |
| Affiliation: | (1) Departamento de Matematicas, CINVESTAV del I.P.N, Apartado Postal 14-740, 07000 Mexico, D.F., Mexico;(2) Department of Mathematics, King‘s College London, Strand, London, WC2R 2LS, UK |
| 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. The first author was partially supported by CONACYT project U46936-F, Mexico. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). 47B35 45E10 30D50 |
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