Invariant subspaces with no generator and a problem of H. Helson

Junichi Tanaka

    Research output: Contribution to journalArticle

    Abstract

    In the almost-periodic context, the H0 2-space cannot be generated by one of its elements. Together with a cocycle argument, this implies that there exist all kinds of invariant subspaces without a single generator, from which we answer some questions on invariant subspace theory.

    Original languageEnglish
    Pages (from-to)1469-1491
    Number of pages23
    JournalAnnales de l'Institut Fourier
    Volume65
    Issue number4
    Publication statusPublished - 2015

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    Invariant Subspace
    Generator
    Almost Periodic
    Cocycle
    Imply
    Context

    Keywords

    • Cocycles
    • Compact groups with ordered duals
    • Invariant subspaces
    • Single generators

    ASJC Scopus subject areas

    • Algebra and Number Theory
    • Geometry and Topology

    Cite this

    Invariant subspaces with no generator and a problem of H. Helson. / Tanaka, Junichi.

    In: Annales de l'Institut Fourier, Vol. 65, No. 4, 2015, p. 1469-1491.

    Research output: Contribution to journalArticle

    Tanaka, Junichi. / Invariant subspaces with no generator and a problem of H. Helson. In: Annales de l'Institut Fourier. 2015 ; Vol. 65, No. 4. pp. 1469-1491.
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