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Extensions of gleason theorem

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Quantum Probability and Applications to the Quantum Theory of Irreversible Processes

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1055))

Abstract

Several recent results of extensions of the Gleason theorem are presented. It has been shown, following Paszkiewicz, that every finitely additive measure on projections of general von Neumann factor is the restriction of a linear functional.

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Author information

Authors and Affiliations

  1. Department of Mathematical Methods in Physics, University of Warsaw, Hoża 74, 00-682, Warsaw, Poland

    Paweł Kruszyński

Authors
  1. Paweł Kruszyński
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Editor information

Luigi Accardi Alberto Frigerio Vittorio Gorini

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© 1984 Springer-Verlag

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Kruszyński, P. (1984). Extensions of gleason theorem. In: Accardi, L., Frigerio, A., Gorini, V. (eds) Quantum Probability and Applications to the Quantum Theory of Irreversible Processes. Lecture Notes in Mathematics, vol 1055. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071724

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  • DOI: https://doi.org/10.1007/BFb0071724

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12915-8

  • Online ISBN: 978-3-540-38798-5

  • eBook Packages: Springer Book Archive

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