Jumping flatness and Aluthge transform of recursive weighted shifts
Functional Analysis
2020-11-05 v1
Abstract
We devote this paper to Hamburger type weighted shifts. We give in particular an affirmative answer to a problem concerning subnormality of the Aluthge transform of Hamburger moment measures with finite support. we also extend the notion flatness, jumping flatness property, introduced recently by Exner et all for Hamburger-type weighted shift and provide obtain several results related to the representing measure of such weighted shifts.
Cite
@article{arxiv.2011.02339,
title = {Jumping flatness and Aluthge transform of recursive weighted shifts},
author = {H. El Azhar and K. Idrissi and E. H. Zerouali},
journal= {arXiv preprint arXiv:2011.02339},
year = {2020}
}
Comments
15 pages