Propagation phenomena for hyponormal 2-variable weighted shifts

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dc.creatorCurto, Raul E.
dc.creatorYoon, Jasang
dc.date2006-10-28
dc.date.accessioned2026-07-07T07:29:34Z
dc.date.available2026-07-07T07:29:34Z
dc.descriptionWe study the class of hyponormal 2-variable weighted shifts with two consecutive equal weights in the weight sequence of one of the coordinate operators. We show that under natural assumptions on the coordinate operators, the presence of consecutive equal weights leads to horizontal or vertical flatness, in a way that resembles the situation for 1-variable weighted shifts. In 1-variable, it is well known that flat weighted shifts are necessarily subnormal (with finitely atomic Berger measures). By contrast, we exhibit a large collection of flat (i.e., horizontally and vertically flat) 2-variable weighted shifts which are hyponormal but not subnormal. Moreover we completely characterize the hyponormality and subnormality of symmetrically flat contractive 2-variable weighted shifts.
dc.identifierhttps://arxiv.org/abs/math/0610889
dc.identifierhttp://arxiv.org/abs/math/0610889
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118163
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject47B20; 47B37; 47A13; 28A50
dc.titlePropagation phenomena for hyponormal 2-variable weighted shifts
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