Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495417 | Journal of Functional Analysis | 2005 | 19 Pages |
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
Raúl E. Curto, Sang Hoon Lee, Jasang Yoon,