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arXiv · 0910.0036

Non--Vanishing functions and Toeplitz Operators on Tube--Type Domains

Adel B. Badi
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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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Adel B. Badi. 2009-11-27. Non--Vanishing functions and Toeplitz Operators on Tube--Type Domains. https://arxiv.org/abs/0910.0036

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