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Some self-adjoint quantum semimartingales

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>1/05/2006
<mark>Journal</mark>Proceedings of the London Mathematical Society
Issue number3
Volume92
Number of pages26
Pages (from-to)791-816
Publication StatusPublished
<mark>Original language</mark>English

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.

Bibliographic note

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