Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem

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dc.creatorMolnar, Lajos
dc.date2002-09-06
dc.date.accessioned2026-07-07T04:50:38Z
dc.date.available2026-07-07T04:50:38Z
dc.descriptionWe present an analogue of Uhlhorn's version of Wigner's theorem on symmetry transformations for the case of indefinite inner product spaces. This significantly generalizes a result of Van den Broek. The proof is based on our main theorem, which describes the form of all bijective transformations on the set of all rank-one idempotents of a Banach space which preserve zero products in both directions.
dc.description13 pages, To appear in J. Funct. Anal
dc.identifierhttps://arxiv.org/abs/math/0209057
dc.identifierhttp://arxiv.org/abs/math/0209057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64863
dc.subjectFunctional Analysis
dc.subjectQuantum Physics
dc.titleOrthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
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