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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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