Logo image
k-Hyponormality of multivariable weighted shifts
Journal article   Open access   Peer reviewed

k-Hyponormality of multivariable weighted shifts

Raúl E Curto, Sang Hoon Lee and Jasang Yoon
Journal of functional analysis, Vol.229(2), pp.462-480
2005
DOI: 10.1016/j.jfa.2005.03.022
url
https://doi.org/10.1016/j.jfa.2005.03.022View
Published (Version of record) Open Access

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.
Lifting problem Subnormal pairs 2-Variable weighted shifts k-Hyponormal pairs

Details

Metrics

Logo image