Belton, Alexander C. R. (2004) An isomorphism of quantum semimartingale algebras. The Quarterly Journal of Mathematics, 55 (2). pp. 135-165.
Full text not available from this repository.Abstract
We give details of a *-linear bijection between adapted (in the sense of Hudson and Parthasarathy) and vacuum-adapted quantum stochastic integrals. This provides new insight into Attal's remarkable transformation of quantum semimartingales, by showing that it factorizes in a natural manner. The Banach *-algebras of regular quantum and Ω-semimartingales are consequently isomorphic, and an intrinsic characterisation of Ω-semimartingales is obtained as an application of this fact. Various formulae occurring in quantum stochastic calculus are shown to have a more natural appearance in the vacuum-adapted framework. We finish by providing the full generalization of this theory to higher dimensions.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | The Quarterly Journal of Mathematics |
| Additional Information: | RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 2399 |
| Deposited By: | ep_importer |
| Deposited On: | 31 Mar 2008 14:42 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 16:19 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/2399 |
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