|
|||||
|
|
|
|
|
|
|
|
|
The peturbation of the
singular spectrum
Richard Hindman Bouldin |
|
Vol. 34 (1970), No. 3, 569–583
|
Abstract |
|
This paper designates a subset of the spectrum of a bounded self adjoint operator on a complex separable Hilbert space. The set is called the singular spectrum and is distinguished by the fact that it is a support for the singular part of the spectral measure of the operator. The behavior of the singular spectrum, when the operator is perturbed by a bounded self adjoint operator, is studied. The thrust of these results is to give conditions sufficient for the perturbed operator to have no singular spectrum. |
Mathematical Subject Classification
Primary: 47.48
|
Milestones
Received: 12 January 1970
Published: 1 September 1970
|
Authors |
| Richard Hindman Bouldin | |
|
