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
| Item Type: | Article |
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| Authors/Creators: |
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| Dates: |
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| 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: | 10.1098/rspa.2001.0858 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:7373 |
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