Functional Analysis and Applications Seminar 

26/03/2004, 14:00 — 15:00 — Room P3.10, Mathematics Building
Torsten Ehrhardt, Technical University of Chemnitz, Germany

Factorization Theory for Singular Integral Operators with Flip

The invertibility of singular integral operators with flip on the unit circle is equivalent to the invertibility of Toeplitz-plus-Hankel operators with a matrix symbol of a particular structure. We show how to develop a factorization theory for such Toeplitz-plus-Hankel operators. The kind of factorization differs from the usual generalized Wiener-Hopf factorization, but is related to it. Some examples where the factorization can be constructed explicitly will be also discussed.