A construction of generalized eigenprojections based on geometric measure theory

    Research output: Book/ReportReportAcademic

    17 Downloads (Pure)

    Abstract

    Let M denote a $\sigma$-compact locally compact metric space which satisfies certain geometrical conditions. Then for each $\sigma$-additive projection valued measure P on M there can be constructed a "canonical" Radon-Nikodym derivative $\Pi: \alpha \mapsto \pi_\alpha$, $\alpha \in M$, with respect to a suitable basic measure $\rho$on M. The family $(\Pi_\alpha)_{\alpha \in M}$ consists of generalized eigenprojections related to the commutative von Neumann algebra generated by the projections $P(\Delta)$, $\Delta$ a Borel set of M.
    Original languageEnglish
    Place of PublicationEindhoven
    PublisherTechnische Hogeschool Eindhoven
    Number of pages17
    Publication statusPublished - 1985

    Publication series

    NameMemorandum COSOR
    Volume8509
    ISSN (Print)0926-4493

    Fingerprint

    Dive into the research topics of 'A construction of generalized eigenprojections based on geometric measure theory'. Together they form a unique fingerprint.

    Cite this