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Commutativity up to a factor of bounded operators in complex Hilbert space

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

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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.

Item Type: Article
Institution: The University of York
Academic Units: The University of 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
URI: http://eprints.whiterose.ac.uk/id/eprint/7373

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