Spectral measures and the Bade reflexivity theorem

Peter G. Dodds, Werner Ricker

    Research output: Contribution to journalArticlepeer-review

    31 Citations (Scopus)


    Let B be a strongly equicontinuous Boolean algebra of projections on the quasi-complete locally convex space X and assume that the space L(X) of continuous linear operators on X is sequentially complete for the strong operator topology. Methods of integration with respect to spectral measures are used to show that the closed algebra generated by B in L(X) consists precisely of those continuous linear operators on X which leave invariant each closed B-invariant subspace of X.

    Original languageEnglish
    Pages (from-to)136-163
    Number of pages28
    JournalJournal of Functional Analysis
    Issue number2
    Publication statusPublished - Apr 1985


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