Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-17T22:28:42.264Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)