Brooke, J.A., Busch, Paul and Pearson, D.B. (2002) Commutativity up to a factor of bounded operators in complex Hilbert space. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 458 (2017). pp. 109-118. ISSN 1364-5021
Abstract
We explore commutativity up to a factor, AB = uBA, for bounded operators in a complex Hilbert space. Conditions on the possible values of the factor u are formulated and shown to depend on spectral properties of the operators involved. Commutativity up to a unitary factor is considered for pairs of self-adjoint operators. Examples of non-trivial realizations of such commutation relations are given.
Metadata
| Authors/Creators: |
|
|---|---|
| Dates: |
|
| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
| Depositing User: | York RAE Import |
| Date Deposited: | 19 Feb 2009 14:55 |
| Last Modified: | 27 Apr 2010 09:36 |
| Published Version: | http://dx.doi.org/10.1098/rspa.2001.0858 |
| Status: | Published |
| Publisher: | The Royal Society |
| Identification Number: | https://doi.org/10.1098/rspa.2001.0858 |
Download not available
A full text copy of this item is not currently available from White Rose Research Online
CORE (COnnecting REpositories)
CORE (COnnecting REpositories)