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Riesz basis for strongly continuous groups
Zwart, Hans (2010) Riesz basis for strongly continuous groups. In: 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010, 5-9 July 2010, Budapest, Hungary.
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| 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. |
| Item Type: | Conference or Workshop Item |
| Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |
| Research Group: | |
| Link to this item: | http://purl.utwente.nl/publications/75750 |
| Conference URL: | http://www.conferences.hu/mtns2010/ |
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