Essentially Reductive Weighted Shift Hilbert Modules

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dc.creatorDouglas, Ronald G.
dc.creatorSarkar, Jaydeb
dc.date2008-07-24
dc.date.accessioned2026-07-07T09:52:38Z
dc.date.available2026-07-07T09:52:38Z
dc.descriptionWe discuss the relation between questions regarding the essential normality of finitely generated essentially spherical isometries and some results and conjectures of Arveson and Guo-Wang on the closure of homogeneous ideals in the m-shift space. We establish a general results for the case of two tuples and ideals with one dimensional zero variety. Further, we show how to reduce the analogous question for quasi-homogeneous ideals, to those results for homogeneous ones. Finally, we show that the essential reductivity of positive regular Hilbert modules is directly related to a generalization of the Arveson problem.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0807.3922
dc.identifierhttp://arxiv.org/abs/0807.3922
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165667
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46E22, 46M20, 47A13, 47B32
dc.titleEssentially Reductive Weighted Shift Hilbert Modules
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