Project Details
Eigenvalues of compactly perturbed operators in Banach spaces
Applicant
Dr. Marcel Hansmann
Subject Area
Mathematics
Term
from 2016 to 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 320146460
The analysis of the asymptotic behavior of eigenvalues of compact operators is a classical topic of operator theory, which has been extensively studied in the last 40 years. Due to results of mathematicians such as B. Carl, H. König and A. Pietsch, the behavior of such eigenvalues is now very well understood. This project is concerned with the question if, and how far, these classical results can be extended to a wider, perturbation theoretical context. More precisely, our aim is to study the eigenvalues of those linear operators which arise from other operators by some compact perturbation. This extended point of view allows for many new applications, which, in addition to the general theory, will be studied in this project.
DFG Programme
Research Grants
International Connection
France
Cooperation Partner
Professor Dr. Stanislas Kupin