Geodesic
Quantum stochastic integrals as belated integrals
Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 165-173

Voir la notice de l'article provenant de la source Cambridge University Press

Quantum stochastic integrals have been constructed in various contexts [2, 3, 4, 5, 9] by adapting the construction of the classical L2-Itô-integral with respect to Brownian motion. Thus, the integral is first defined for simple integrands as a finite sum, then one establishes certain isometry relations or suitable bounds to allow the extension, by continuity, to more general integrands. The integrator is typically operator-valued, the integrand is vector-valued or operator-valued and the quantum stochastic integral is then given as a vector in a Hilbert space, or as an operator on the Hilbert space determined by its action on suitable vectors. 
Barnett, Chris; Lindsay, J. M.; Wilde, Ivan F. Quantum stochastic integrals as belated integrals. Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 165-173. doi: 10.1017/S0017089500008685
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