SOME SELF-ADJOINT QUANTUM SEMIMARTINGALES

Alexander C.R. Belton

doi:10.1017/s0024611505015650

SOME SELF-ADJOINT QUANTUM SEMIMARTINGALES

Alexander C.R. Belton^*

^*Corresponding author for this work

School of Engineering, Computing and Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	791-816
Journal	Proceedings of the London Mathematical Society
Volume	92
Issue number	3
Early online date	18 Apr 2006
DOIs	https://doi.org/10.1017/s0024611505015650
Publication status	Published - May 2006

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title = "SOME SELF-ADJOINT QUANTUM SEMIMARTINGALES",

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.",

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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.

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DO - 10.1017/s0024611505015650

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JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

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SOME SELF-ADJOINT QUANTUM SEMIMARTINGALES

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