Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal

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dc.creatorCurto, Raul
dc.creatorYoon, Jasang
dc.date2004-05-30
dc.date.accessioned2026-07-07T06:33:39Z
dc.date.available2026-07-07T06:33:39Z
dc.descriptionWe construct three different families of commuting pairs of subnormal operators, jointly hyponormal but not admitting commuting normal extensions. Each such family can be used to answer in the negative a 1988 conjecture of R. Curto, P. Muhly and J. Xia. We also obtain a sufficient condition under which joint hyponormality does imply joint subnormality.
dc.description20 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0405587
dc.identifierhttp://arxiv.org/abs/math/0405587
dc.identifierTrans. Amer. Math. Soc. 358 (2006), 5139-5159
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99270
dc.subjectFunctional Analysis
dc.subjectPrimary 47B20, 47B37, 47A13, 28A50; Secondary 44A60, 47-04, 47A20
dc.titleJointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal
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