Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415074 | Journal of Functional Analysis | 2016 | 4 Pages |
Abstract
In our paper “Essential normality, essential norms and hyperrigidity” we claimed that the restriction of the identity representation of a certain operator system (constructed from a polynomial ideal) has the unique extension property, however the justification we gave was insufficient. In this note we provide the required justification under some additional assumptions. Fortunately, homogeneous ideals that are “sufficiently non-trivial” are covered by these assumptions. This affects the section of our paper relating essential normality and hyperrigidity. We show here that Proposition 4.11 and Theorem 4.12 hold under the additional assumptions. We do not know if they hold in the generality considered in our paper.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Matthew Kennedy, Orr Moshe Shalit,