IST IST

Seminar on
Functional Analysis and Applications

Supported by The Center for Functional Analysis and Applications - CEAF
and FCT project POCTI/MAT/59972/2004.


  • 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