arXiv subjects

H. El Azhar

Publications and source records attributed to H. El Azhar.

2 recordsLinked to original sources

arXiv2020

Jumping flatness and Aluthge transform of recursive weighted shifts

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.

math.FA↗

arXiv2018

A note on weak positive matrices, finite mass measures and hyponormal weighted shifts

We study the class of Hankel matrices for which the $k\times k$-block-matrices are positive semi-definite. We prove that a $k\times k$-block-matrix has non zero determinant if and only if all $k\times k$-block matrices have non zero determinant. We use this result to extend the notion of propagation phenomena to $k$-hyponormal weighted shifts. Finally we give a study on invariance of $k$-hyponormal weighted shifts under one rank perturbation.

math.FA↗