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Weakly wandering vectors and interpolation theorems for power bounded operators

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    SYSNO ASEP0360298
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleWeakly wandering vectors and interpolation theorems for power bounded operators
    Author(s) Müller, Vladimír (MU-W) RID, SAI
    Tomilov, Y. (PL)
    Source TitleIndiana University Mathematics Journal. - : Indiana University - ISSN 0022-2518
    Roč. 59, č. 3 (2010), s. 1121-1144
    Number of pages24 s.
    Languageeng - English
    CountryUS - United States
    Keywordspower bounded operator ; weakly wandering vectors ; weak orbits ; interpolation of orbits ; spectrum
    Subject RIVBA - General Mathematics
    R&D ProjectsGA201/09/0473 GA ČR - Czech Science Foundation (CSF)
    CEZAV0Z10190503 - MU-W (2005-2011)
    UT WOS000286152100015
    EID SCOPUS79954433583
    DOI10.1512/iumj.2010.59.3974
    AnnotationLet T be a power bounded Hilbert space operator with infinite peripheral spectrum and empty point peripheral spectrum. Then there exists a dense subset of weakly wandering vectors. This improves corresponding results for unitary operators which are known from ergodic theory.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2012
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