Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Some self-adjoint quantum semimartingales
AU - Belton, Alexander C. R.
N1 - The final, definitive version of this article has been published in the Journal, Proceedings of the London Mathematical Society, 92 (3), pp 791-816 2006, © 2006 Cambridge University Press. RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics
PY - 2006/5/1
Y1 - 2006/5/1
N2 - It is proved that the quantum stochastic gauge integral preserves self-adjointness of vacuum-adapted processes. This fact, together with bounded perturbations and the link between the Hudson–Parthasarathy calculus and vacuum-adapted theory, is used to produce many self-adjoint quantum semimartingales.
AB - It is proved that the quantum stochastic gauge integral preserves self-adjointness of vacuum-adapted processes. This fact, together with bounded perturbations and the link between the Hudson–Parthasarathy calculus and vacuum-adapted theory, is used to produce many self-adjoint quantum semimartingales.
U2 - 10.1017/S0024611505015650
DO - 10.1017/S0024611505015650
M3 - Journal article
VL - 92
SP - 791
EP - 816
JO - Proceedings of the London Mathematical Society
JF - Proceedings of the London Mathematical Society
SN - 1460-244X
IS - 3
ER -