k-hyponormality of multivariable weighted shifts

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We characterize joint k-hyponormality for 2-variable weighted shifts. Using this characterization we construct a family of examples which establishes and illustrates the gap between k-hyponormality and (k+1)-hyponormality for each k>=1. As a consequence, we obtain an abstract solution to the Lifting Problem for Commuting Subnormals.
13 pages; to appear in J. Funct. Anal

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Functional Analysis, 47B20, 47B37, 47A13, 28A50

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http://salesiana.dossiersoluciones.com/handle/123456789/99273

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507071
 http://arxiv.org/abs/math/0507071
 J. Funct. Anal. 229(2005), 462-480

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arXiv