Riesz basis for strongly continuous groups.

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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.
    Original languageUndefined
    Title of host publicationProceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010
    Place of PublicationBudapest
    PublisherEötvös Loránd University
    Pages647-650
    Number of pages4
    ISBN (Print)978-963-311-370-7
    Publication statusPublished - Jul 2010
    Event19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010 - Budapest, Hungary
    Duration: 5 Jul 20109 Jul 2010
    Conference number: 19

    Publication series

    Name
    PublisherEötvös Loránd University

    Conference

    Conference19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010
    Abbreviated titleMTNS
    CountryHungary
    CityBudapest
    Period5/07/109/07/10

    Keywords

    • IR-75750
    • EWI-19382
    • MSC-93C25
    • METIS-276306

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