The (weak) admissibility of the H-infinity-calculus for semigroup generators

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    Abstract

    The goal of the following is to use (infinite-dimensional) linear systems theory to approach the H-infinity - functional calculus. This extends recent work by the authors using the notion of admissible observation operators to define f(A) where f is bounded, analytic in the left half-plane and A generates an exponentially stable strongly continuous semigroup. Among other things it is shown that f(A) is always weakly admissible and indeed coincides with classical approaches to H- infinity-calculus.
    Original languageEnglish
    Title of host publicationProceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014
    Place of PublicationGroningen
    PublisherUniversity of Groningen
    Pages230-232
    Number of pages3
    ISBN (Print)978-90-367-6321-9
    Publication statusPublished - 7 Jul 2014
    Event21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014 - Groningen, Netherlands
    Duration: 7 Jul 201411 Jul 2014
    Conference number: 21

    Conference

    Conference21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014
    Abbreviated titleMTNS
    CountryNetherlands
    CityGroningen
    Period7/07/1411/07/14

    Keywords

    • MSC-93B07
    • METIS-309918
    • IR-94657
    • EWI-25779

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