| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4622757 | Journal of Mathematical Analysis and Applications | 2007 | 8 Pages |
Abstract
Nonlinear equations arising in the spectral theory of self-adjoint operator functions and related completeness problems for eigenvectors are studied. A separation theorem about the values of the Rayleigh functional on solutions of a nonlinear equation is proved. This theorem is used, as a new approach to establish completeness of eigenvectors for some classes of self-adjoint operator functions. Examples from matrix pencils are given.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
