arXiv subjects

Adel B. Badi

Publications and source records attributed to Adel B. Badi.

2 recordsLinked to original sources

arXiv2009

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

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.

math.OA↗

arXiv2008

An Index Theorem for Toeplitz Operators on the Quarter-Plane

We prove an index theorem for Toeplitz operators on the quarter-plane using the index theory for generalized Toeplitz operators introduced by G. J. Murphy. To prove this index theorem we construct an indicial triple on the tensor product of two C*-algebras provided with indicial triples with general conditions. We show that our results can be extended to some extensions of the theory of Toeplitz operators on the quarter-plane.

math.OA↗