Non-vanishing functions and Toeplitz operators on tube-type domains |
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Authors: | Adel B Badi |
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Institution: | The 7th of October University, Faculty of Science, Mathematics Department, PO Box 2478, Misurata, Libya |
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Abstract: | We prove an index theorem for Toeplitz operators on irreducible tube-type domains and we extend our results to Toeplitz operators with matrix symbols. In order to prove our index theorem, we proved a result asserting that a non-vanishing function on the Shilov boundary of a tube-type bounded symmetric domain, not necessarily irreducible, is equal to a unimodular function defined as the product of powers of generic norms times an exponential function. |
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Keywords: | Tube-type domains Toeplitz operators Generalized Fredholm index Topological index Indicial triple |
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