Functional Analysis and Applications Seminar 

11/12/2009, 15:00 — 16:00 — Room P3.10, Mathematics Building
Cristina Câmara, Instituto Superior Técnico, Universidade Técnica de Lisboa

On some properties of the kernel and the cokernel of a Toeplitz operator

The dimensions of the kernels of two Toeplitz operators whose symbols satisfy certain relations are compared using simple linear algebraic arguments. The results are applied to obtain some Fredholm type properties for \(2\times 2\) symbols whose determinant admits a bounded factorization.