Abstract
Let H be a separable Hilbert space, and A be a linear operator
on H with a Hilbert-Schmidt resolvent and a bounded imaginary
Hermitian component. Assuming that the spectrum of A lies in the
open left half-plane we suggest the conditions that provide the
location of the spectrum of a bounded perturbation of A in the
open left half-plane.
| Original language | English |
|---|---|
| Pages (from-to) | 340-347 |
| Number of pages | 8 |
| Journal | Methods of Functional Analysis and Topology |
| Volume | 27 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Jan 2021 |
Keywords
- Hilbert space
- Spectrum perturbation
- Unbounded operators
ASJC Scopus subject areas
- Analysis
- Mathematical Physics
- Geometry and Topology