The behavior of functions of operators under perturbations
| dc.creator | Peller, V. V. | |
| dc.date | 2009-04-10 | |
| dc.date.accessioned | 2026-07-07T13:03:15Z | |
| dc.date.available | 2026-07-07T13:03:15Z | |
| dc.description | This is a survey article. We consider different problems in connection with the behavior of functions of operators under perturbations of operators. We deal with three classes of operators: unitary operators, self-adjoint operators, and contractions. We study operator Lipschitz and operator differentiable functions. We also study the behavior of functions under perturbations of an operator by an operator of Schatten--von Neumann class $\bS_p$ and apply the results to the Livschits--Krein and Koplienko--Neidhardt trace formulae. We also include in this survey article recent unexpected results obtained in a joint paper with Aleksandrov on operator Hölder--Zygmund functions. | |
| dc.description | 37 pages | |
| dc.identifier | https://arxiv.org/abs/0904.1761 | |
| dc.identifier | http://arxiv.org/abs/0904.1761 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226731 | |
| dc.subject | Functional Analysis | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Complex Variables | |
| dc.subject | Spectral Theory | |
| dc.subject | 47A55, 47B49, 47A60 | |
| dc.title | The behavior of functions of operators under perturbations | |
| dc.type | text |