Title: On the distribution of the eigenvalues of non-selfadjoint operators
Speaker: Prof. Michael Demuth University of Clausthal Germany
Date: 01 March 2011
Time: 4:00 p.m. - 5:00 p.m.
Venue: Lecture Hall I, Department of Mathematics
Let A be a selfadjoint operator. We are interested in the discrete spectrum of B = A+M where B is non-selfadjoint. If the resolvent difference is in the Schatten class S_p, then we have an estimate on the distribution of the eigenvalues of B. By means of this estimate we can give qualitative estimates for the number of eigenvalues of B or their moments. That can be applied to Schodinger operators with complex potentials.