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Quantum extensions of semigroups generated by Bessel processes

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Abstract

We construct a quantum extension of the Markov semigroup of the classical Bessel process of orderv≥1 to the noncommutative von Neumann algebra ß(L 2(0, +∞)) of bounded operators onL 2(0, +∞).

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Authors and Affiliations

  1. Università di Genova, l'Italie

    F. Fagnola

  2. Università di Palermo, l'Italie

    R. Monte

Authors
  1. F. Fagnola
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  2. R. Monte
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Translated fromMatematicheskie Zametki, Vol. 60, No. 4, pp. 519–537, October, 1996.

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Fagnola, F., Monte, R. Quantum extensions of semigroups generated by Bessel processes. Math Notes 60, 389–401 (1996). https://doi.org/10.1007/BF02305422

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  • DOI: https://doi.org/10.1007/BF02305422

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