k-hyponormality of multivariable weighted shifts
Functional Analysis
2007-05-23 v1
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.
Cite
@article{arxiv.math/0507071,
title = {k-hyponormality of multivariable weighted shifts},
author = {Raul E. Curto and Sang Hoon Lee and Jasang Yoon},
journal= {arXiv preprint arXiv:math/0507071},
year = {2007}
}
Comments
13 pages; to appear in J. Funct. Anal