Curvature Condition for Noncontractions does not imply Similarity to the Backward Shift

Details Curvature Condition for Noncontractions does not imply Similarity to the Backward Shift Curvature Condition for Noncontractions does not imply Similarity to the Backward Shift

2009-03-25

arxiv.org/abs/0903.4423v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We give an example of an operator that satisfies the curvature condition as
defined in [2], but is not similar to the backward shift S* on the Hardy class
H^2. We conclude therefore that the contraction assumption in the similarity
characterization given in [2] is a necessary requirement.

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