Exotic indecomposable systems of four subspaces in a Hilbert space

Masatoshi Enomoto, Yasuo Watatani

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)

    Abstract

    We study the relative position of four (closed) subspaces in a Hilbert space. For any positive integer n, we give an example of exotic indecomposable system S of four subspaces in a Hilbert space whose defect is 2n+1/3. By an exotic system, we mean a system which is not isomorphic to any closed operator system under any permutation of subspaces. We construct the examples using certain nice sequences construced by Jiang and Wang in their study of strongly irreducible operators.

    Original languageEnglish
    Pages (from-to)149-164
    Number of pages16
    JournalIntegral Equations and Operator Theory
    Volume59
    Issue number2
    DOIs
    Publication statusPublished - Oct 2007

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Algebra and Number Theory

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