Bhatia, Rajendra ; Šemrl, Peter (1996) Distance between Hermitian operators in Schatten classes Proceedings of the Edinburgh Mathematical Society, 39 (2). pp. 377-380. ISSN 0013-0915
Full text not available from this repository.
Official URL: http://journals.cambridge.org/abstract_S0013091500...
Related URL: http://dx.doi.org/10.1017/S0013091500023105
Abstract
We consider the distance between a fixed Hermitian operator B and the unitary orbit of another Hermitian operator A and show that in each Schatten p-class, 1 is < p is < ∞, critical points of this distance function are at operators commuting with B. As a consequence we obtain a perturbation bound for the eigenvalues of Hermitian operators in these Schatten classes.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Edinburgh Mathematical Society. |
| ID Code: | 2523 |
| Deposited On: | 08 Oct 2010 07:22 |
| Last Modified: | 08 Oct 2010 07:22 |
Repository Staff Only: item control page
