Functional Analysis and Applications Seminar 

09/11/2007, 15:15 — 16:15 — Room P3.10, Mathematics Building
Giorgi Bogveradze, Universidade de Aveiro

Toeplitz plus Hankel operators with infinite index

We will consider Toeplitz plus Hankel operators generated by symbols which have $n$ points of standard almost periodic discontinuities, and acting between $L^2(T)$ Lebesgue spaces. Conditions are obtained under which these operators are right-invertible and with infinite kernel dimension, left-invertible and with infinite cokernel dimension or simply not normally solvable. This will be done by employing a certain real functional, looking to the resulting signs on the points of standard almost periodic discontinuities. Examples will be provided to illustrate the obtained results.