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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.

Keywords

Classical Analysis and ODEs, 47A99

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/224618

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.4423
 http://arxiv.org/abs/0903.4423

Collections

arXiv