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The field algebra and its positive linear functionals

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Abstract

We show that positive linear functionals on the field algebra are necessarily continuous and can be represented by conical measures. Furthermore extension theorems for continuous linear functionals, defined on a subspace of the field algebra, to positive linear functionals are discussed.

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Authors and Affiliations

  1. Department of Mathematics and Physics, University of Colorado, Boulder, Colorado

    W. Wyss

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  1. W. Wyss
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Additional information

Supported in part by National Science Foundation, GP 19479, and a Summer Research Initiation Fellowship from the University of Colorado.

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Wyss, W. The field algebra and its positive linear functionals. Commun.Math. Phys. 27, 223–234 (1972). https://doi.org/10.1007/BF01645693

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  • DOI: https://doi.org/10.1007/BF01645693

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