This article is cited in 5 papers

Quantum extensions of semigroups generated by Bessel processes

F. Fagnola^a, R. Monte<sup>b

a</sup> University of Genova, Department of Mathematics
^b Università degli Studi di Palermo

Abstract: We construct a quantum extension of the Markov semigroup of the classical Bessel process of order $\nu\ge1$ to the noncommutative von Neumann algebra $\beta(L^2(0,+\infty))$ of bounded operators on $L^2(0,+\infty)$.

UDC: 519.217

Received: 20.05.1996

DOI: 10.4213/mzm1860

 English version: Mathematical Notes, 1996, 60:4, 389–401

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