Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/8932| Author(s): | Bracic, J. Diogo, C. |
| Date: | 2015 |
| Title: | Hildebrandt's theorem for the essential spectrum |
| Volume: | 35 |
| Number: | 3 |
| Pages: | 279 - 285 |
| ISSN: | 1232-9274 |
| DOI (Digital Object Identifier): | 10.7494/OpMath.2015.35.3.279 |
| Keywords: | Essential numerical range Essential spectrum Hildebrandt's theorem |
| Abstract: | We prove a variant of Hildebrandt's theorem which asserts that the convex hull of the essential spectrum of an operator A on a complex Hilbert space is equal to the intersection of the essential numerical ranges of operators which are similar to A. As a consequence, it is given a necessary and sufficient condition for zero not being in the convex hull of the essential spectrum of A. |
| Peerreviewed: | yes |
| Access type: | Open Access |
| Appears in Collections: | DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| opuscula_math_3518.pdf | Versão Editora | 312,57 kB | Adobe PDF | View/Open |
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