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Probability structures in subspace lattice approach to foundations of quantum theory

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Abstract

Noncommutative measure and probability theory develops parallel to classical probability theory. In our paper, we summarize recent results on the structure of subspaces affiliated with von Neumann algebras and noncommutative measures defined on them. We show the interplay of ideas from classical and noncommutative measure theories based on general inner product spaces and bring new examples in this area.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Information Technology, Kazan Federal University, Kremlyovskaya str. 18, 420008, Kazan, Russia

    Ekaterina Turilova

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  1. Ekaterina Turilova
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Correspondence to Ekaterina Turilova.

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Turilova, E. Probability structures in subspace lattice approach to foundations of quantum theory. Lith Math J 55, 263–269 (2015). https://doi.org/10.1007/s10986-015-9279-7

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  • DOI: https://doi.org/10.1007/s10986-015-9279-7

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