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Integral decomposition of unbounded operator families

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Abstract

We give a meaning to the direct integral decomposition of unbounded operators and Op*-algebras on a metrizable dense domain of a Hilbert space, by considering them as bounded operators between several other Hilbert spaces.

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Authors and Affiliations

  1. Institut de Physique Théorique, Université Catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium

    F. Debacker-Mathot

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  1. F. Debacker-Mathot
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Communicated by H. Araki

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Debacker-Mathot, F. Integral decomposition of unbounded operator families. Commun.Math. Phys. 71, 47–58 (1980). https://doi.org/10.1007/BF01230085

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  • DOI: https://doi.org/10.1007/BF01230085

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