Essentially Reductive Weighted Shift Hilbert Modules

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We 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.
23 pages

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Operator Algebras, Functional Analysis, 46E22, 46M20, 47A13, 47B32

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http://salesiana.dossiersoluciones.com/handle/123456789/165667

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0807.3922
 http://arxiv.org/abs/0807.3922

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arXiv