Article ID Journal Published Year Pages File Type
9495417 Journal of Functional Analysis 2005 19 Pages PDF
Abstract
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.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, , ,