Norm closed invariant subspaces in L and H

Keiji Izuchi, Daniel Suárez

    Research output: Contribution to journalArticleResearchpeer-review

    1 Citation (Scopus)

    Abstract

    We characterize norm closed subspaces B of L∞(∂D) such that C(∂D)B ⊂ B and maximal ones in the family of proper closed subspaces B of L∞(∂D) such that A(D)B ⊂ B, where A(D) is the disk algebra. Analogously, we characterize closed subspaces of H ∞ that are simultaneously invariant under S and S*, the forward and the backward shift operators, and maximal invariant subspaces of H∞.
    Original languageEnglish
    Pages (from-to)399-404
    JournalGlasgow Mathematical Journal
    Volume46
    Issue number2
    DOIs
    Publication statusPublished - 1 May 2004

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