Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591313 | Journal of Functional Analysis | 2010 | 14 Pages |
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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