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SOME SELF-ADJOINT QUANTUM SEMIMARTINGALES

Published online by Cambridge University Press:  18 April 2006

ALEXANDER C. R. BELTON
ALEXANDER C. R. BELTON
Affiliation:
IRMA, 7 rue René Descartes, 67084 Strasbourg cedex, France Current address: School of Mathematics, Applied Mathematics and Statistics, University College, Cork, Irelanda.belton@ucc.ie
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Abstract

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.

Keywords

81S2547D0647A56
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 92 , Issue 3 , May 2006 , pp. 791 - 816
Copyright
2006 London Mathematical Society

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