Institute of Mathematics

Marcel Hansmann - Private Homepage

Marcel Hansmann

Clausthal University of Technology

Institute of Mathematics

Section Analysis

Erzstrasse 1

38678 Clausthal-Zellerfeld, Germany

Office: 216

Phone: 49 (0) 5323 72-3574

Fax: 49 (0) 5323 72-3598

E-Mail: Hansmann@math.tu-clausthal.de

Operator and spectral theory

Estimating eigenvalue moments via Schatten norm bounds on semigroup differences,
Math. Phys. Anal. Geom., 10(3) (2007) 261-270.
On spectral stability for the fractional Laplacian perturbed by unbounded obstacles,
joint with M. Demuth,
Math. Nachr., 282(9) (2009) 1265-1277.
On the discrete spectrum of non-selfadjoint operators,
joint with M. Demuth and G.Katriel,
J. Funct. Anal., 257 (2009) 2742-2759. arXiv-Preprint: 0908.2188.
Inequalities for the eigenvalues of non-selfadjoint Jacobi operators,
joint with G. Katriel,
Complex Anal. Oper. Theory, to appear. arXiv-Preprint: 0901.1725.
An eigenvalue estimate and its application to non-selfadjoint Jacobi and Schrödinger operators,

submitted. arXiv-Preprint: 1006.5308.

Mathematical reports:
On the distribution of eigenvalues of non-selfadjoint operators,
joint with M. Demuth and G. Katriel,
TU Clausthal Mathematical Report 01/08. arXiv-Preprint: 0802.2468.

Theses:
Schrödinger operators with large coupling constants - exact rates of convergence (in German),
Diploma thesis, TU Clausthal 2005.
On the discrete spectrum of linear operators in Hilbert spaces,
PhD thesis, TU Clausthal 2010. Electronic version