Spectral theorem for normal matrices in an indefinite inner product space (Q2567469)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral theorem for normal matrices in an indefinite inner product space |
scientific article |
Statements
Spectral theorem for normal matrices in an indefinite inner product space (English)
0 references
5 October 2005
0 references
According to the authors, a square complex matrix \(A\) is said to have the spectral property if the Moore-Penrose inverse of \(A-\lambda I\) exists for all eigenvalues \(\lambda\) of \(A\). Using this concept, spectral theorems for normal and Hermitian operators are proved.
0 references
Moore-Penrose inverse
0 references
spectral property
0 references
indefinite inner product
0 references
normal matrix
0 references
Hermitian matrix
0 references
