Non--Vanishing functions and Toeplitz Operators on Tube--Type Domains
Operator Algebras
2009-11-27 v2
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.
Cite
@article{arxiv.0910.0036,
title = {Non--Vanishing functions and Toeplitz Operators on Tube--Type Domains},
author = {Adel B. Badi},
journal= {arXiv preprint arXiv:0910.0036},
year = {2009}
}