Resolvent estimates for operators belonging to exponential classes
| dc.creator | Bandtlow, Oscar F. | |
| dc.date | 2008-09-19 | |
| dc.date.accessioned | 2026-07-07T10:04:03Z | |
| dc.date.available | 2026-07-07T10:04:03Z | |
| dc.description | For $a,α>0$ let $E(a,α)$ be the set of all compact operators $A$ on a separable Hilbert space such that $s_n(A)=O(\exp(-an^α))$, where $s_n(A)$ denotes the $n$-th singular number of $A$. We provide upper bounds for the norm of the resolvent $(zI-A)^{-1}$ of $A$ in terms of a quantity describing the departure from normality of $A$ and the distance of $z$ to the spectrum of $A$. As a consequence we obtain upper bounds for the Hausdorff distance of the spectra of two operators in $E(a,α)$. | |
| dc.description | AMS-LaTeX, 20 pages | |
| dc.identifier | https://arxiv.org/abs/0809.3385 | |
| dc.identifier | http://arxiv.org/abs/0809.3385 | |
| dc.identifier | Integr. Equ. Oper. Theory 61 (2008) 21-43 | |
| dc.identifier | doi:10.1007/s00020-008-1571-z | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169524 | |
| dc.subject | Functional Analysis | |
| dc.subject | 47A10 (Primary) 47B06, 47B07 (Secondary) | |
| dc.title | Resolvent estimates for operators belonging to exponential classes | |
| dc.type | text |