Some properties of the Schur complement of a block operator matrix
| Subject | Spectral theory |
| Title | Some properties of the Schur complement of a block operator matrix |
| Author(s) | Tulkin Rasulov |
| Keywords | block operator matrix, Schur complement, eigenvalues, spectrum |
| Abstract | In this work the several spectral properties of the first Schur complement, corresponding to the block operator matrix, related with the number of eigenvalues are studied. In one dimensional case for special class of parameter functions the existence of the infinitely many eigenvalues of first Schur complement is established. The eigenvalues, it’s multiplicities and the corresponding eigenvectors are founded. |