k-hyponormality of multivariable weighted shifts

Details k-hyponormality of multivariable weighted shifts k-hyponormality of multivariable weighted shifts

2005-07-04

arxiv.org/abs/math/0507071v1

J. Funct. Anal. 229(2005), 462-480

Mathematics

Functional Analysis

13 pages; to appear in J. Funct. Anal

Scientific paper

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.

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