Zero product preservers of C*-algebras

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dc.creatorWong, Ngai-Ching
dc.date2007-08-28
dc.date.accessioned2026-07-07T08:26:04Z
dc.date.available2026-07-07T08:26:04Z
dc.descriptionLet T be be a zero-product preserving bounded linear map between C*-algebras A and B. Here neither A nor B is necessarily unital. In this note, we investigate when T gives rise to a Jordan homomorphism. In particular, we show that A and B are isomorphic as Jordan algebras if T is bijective and sends zero products of self-adjoint elements to zero products. They are isomorphic as C*-algebras if T is bijective and preserves the full zero product structure.
dc.description4 pages,to appear in the ``Proceedings of the Fifth Conference on Function Space'', Contemporary Math
dc.identifierhttps://arxiv.org/abs/0708.3718
dc.identifierhttp://arxiv.org/abs/0708.3718
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136823
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L40; 47B48
dc.titleZero product preservers of C*-algebras
dc.typetext

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