Some sharp norm estimates in the subspace perturbation problem
| dc.creator | Motovilov, Alexander K. | |
| dc.creator | Selin, Alexei V. | |
| dc.date | 2004-09-28 | |
| dc.date | 2006-04-08 | |
| dc.date.accessioned | 2026-07-07T07:47:18Z | |
| dc.date.available | 2026-07-07T07:47:18Z | |
| dc.description | We discuss the spectral subspace perturbation problem for a self-adjoint operator. Assuming that the convex hull of a part of its spectrum does not intersect the remainder of the spectrum, we establish an \textit{a priori} sharp bound on variation of the corresponding spectral subspace under off-diagonal perturbations. This bound represents a new, \textit{a priori}, $\tanΘ$ Theorem. We also extend the Davis--Kahan $\tan 2Θ$ Theorem to the case of some unbounded perturbations. | |
| dc.identifier | https://arxiv.org/abs/math/0409558 | |
| dc.identifier | http://arxiv.org/abs/math/0409558 | |
| dc.identifier | Integral Equations and Operator Theory 56 (2006), 511-542 | |
| dc.identifier | doi:10.1007/s00020-006-1437-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124121 | |
| dc.subject | Spectral Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Primary 47A55; Secondary 47B25 | |
| dc.title | Some sharp norm estimates in the subspace perturbation problem | |
| dc.type | text |