Abstract
Given a Hilbert space and the generator of a strongly continuous group on this Hilbert space. If the eigenvalues of the generator have a uniform gap, and if the span of the corresponding eigenvectors is dense, then these eigenvectors form a Riesz basis (or unconditional basis) of the Hilbert space. Furthermore, we show that none of the conditions can be weakened.
| Original language | Undefined |
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| Title of host publication | Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010 |
| Place of Publication | Budapest |
| Publisher | Eötvös Loránd University |
| Pages | 647-650 |
| Number of pages | 4 |
| ISBN (Print) | 978-963-311-370-7 |
| Publication status | Published - Jul 2010 |
| Event | 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010 - Budapest, Hungary Duration: 5 Jul 2010 → 9 Jul 2010 Conference number: 19 |
Publication series
| Name | |
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| Publisher | Eötvös Loránd University |
Conference
| Conference | 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010 |
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| Abbreviated title | MTNS |
| Country/Territory | Hungary |
| City | Budapest |
| Period | 5/07/10 → 9/07/10 |
Keywords
- IR-75750
- EWI-19382
- MSC-93C25
- METIS-276306