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Two-Dimensional Töplitz Operators with Measurable Symbols

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Abstract

For the complete algebra of two-dimensional Töplitz operators with measurable bounded symbols, we establish conditions necessary for the Fredholm property of the operators and prove results on the separation of singularities of the symbols. As a corollary, conditions sufficient for the Fredholm property are established for operators with symbols satisfying local conditions of sectorial type.

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  1. Rostov State University, Russia

    L. I. Sazonov

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  1. L. I. Sazonov
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Sazonov, L.I. Two-Dimensional Töplitz Operators with Measurable Symbols. Mathematical Notes 74, 81–90 (2003). https://doi.org/10.1023/A:1025071200778

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  • DOI: https://doi.org/10.1023/A:1025071200778

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