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

Junichi Tanaka*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review


    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
    Issue number4
    Publication statusPublished - 2015


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

    ASJC Scopus subject areas

    • Algebra and Number Theory
    • Geometry and Topology


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