- November 9, 2007, Friday - 15h15 (Room P 3.10):
Toeplitz plus
Hankel operators with infinite index
Giorgi Bogveradze
(Universidade de Aveiro)
Abstract. We will consider Toeplitz plus Hankel
operators generated by symbols
which have n points of standard almost periodic
discontinuities,
and acting between L2(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.
Seminars take place in Lisbon, I.S.T. -
Post Graduation Building
Webpage: http://www.math.ist.utl.pt/funcional