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Commutativity up to a Factor of Bounded Operators in Complex Hilbert Space

Research group:
Mathematical Physics
TitleCommutativity up to a Factor of Bounded Operators in Complex Hilbert Space
Publication TypeJournal Article
Year of Publication2002
AuthorsBrooke J, Busch P, Pearson D
JournalProc. Roy. Soc. A (Lond.)
Volume458
Pagination109-118
AbstractWe explore commutativity up to a factor, $AB=\lambda BA$, for bounded operators in a complex Hilbert space. Conditions on the possible values of the factor $\lambda$ 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 nontrivial realizations of such commutation relations are given.
URLhttp://arxiv.org/abs/math.FA/0007049
DOI10.1098/rspa.2001.0858
E-print numberarXiv:math.FA/0007049
MathRevMR1879460

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Edited 12 Sep 2009 - 16:36 by pb516

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