Department of Mathematics

Indian Institute of Science

Bangalore 560 012

 

SEMINAR

 

Speaker

:

 Prof. Michael Demuth 
Affiliation : University of Clausthal, Germany

Subject Area

:

Mathematics

 

Venue

:

Lecture Hall I, Department of Mathematics

 

Time

:

4.00-5.00 p.m.

 

Date  

:

March1, 2011 (Tuesday)

Title

:

"On the distribution of the eigenvalues of non-selfadjoint operators"
Abstract

:

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.