normal operator meaning in Hindi

Examples

1. An example of such an operator is a normal operator.
2. The residual spectrum of a normal operator is empty.
3. There is also an analogous spectral theorem for bounded normal operators on Hilbert spaces.
4. A generalization of the spectral theorem holds for continuous normal operators in Hilbert spaces.
5. Normal operators are characterized by the spectral theorem.
6. The operator norm of a normal operator equals its numerical radius and spectral radius.
7. This is the spectral theorem for normal operators.
8. Every normal operator is subnormal by definition, but the converse is not true in general.
9. Some but not all of the above generalize to normal operators on infinite-dimensional Hilbert spaces.
10. It follows that the Hilbert space cannot in general be spanned by eigenvectors of a normal operator.