# Fredholm properties of a class of Toeplitz operators

Cristina Diogo

ISCTE -- Instituto Superior de Ciências do Trabalho e da Empresa
Departamento de Métodos Quantitativos
Lisboa

In this talk the Riemann-Hilbert problem with matrix coefficient is considered, assuming the existence of a non trivial solution with belonging to the Hardy spaces and such that or vanishes in some point of the corresponding half-plane or , respectively. The results are used to study the Fredholm properties of Toeplitz operators with such a matrix symbol in the Hardy spaces .

2005-05-23