Speaker
Oscar Bandtlow
(Queen Mary University of London)
Description
In this talk I will explain how to obtain explicit upper bounds for the resolvent R(z,L) of any compact operator L on a Hilbert space in terms of its singular values and the distance of z to the spectrum of L. I will then discuss applications of this estimate to obtaining explicit a priori error bounds for spectral approximations of transfer operators. Time permitting, I will also explain how to extend these results to the Banach space setting.
