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Operational logics and the Hahn-Jordan property

  • Part III. Invited Papers Dedicated To The Memory Of Charles H. Randall (1928–1987)
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Abstract

The main result established in this paper is the following: If the base normed spaceV of completely additive weights is a norm-determining subspace of the space of finitely additive weights V acting on the order unit space spanning the operational logic, thenV has the ε-Jordan-Hahn property iff V has the approximate Jordan-Hahn property. Several examples illustrating the theory are given.

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References

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Authors and Affiliations

  1. Department of Mathematics, Smith College, 01060, Northampton, Massachusetts

    Yewande Olubummo

  2. Department of Mathematics and Statistics, Lederle Graduate Research Center, University of Massachusetts, 01003, Amherst, Massachusetts

    Thurlow A. Cook

Authors
  1. Yewande Olubummo
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  2. Thurlow A. Cook
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Dedicated to the memory of Professor Charles H. Randall.

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Olubummo, Y., Cook, T.A. Operational logics and the Hahn-Jordan property. Found Phys 20, 905–913 (1990). https://doi.org/10.1007/BF01889697

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  • DOI: https://doi.org/10.1007/BF01889697

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