arXiv subjects

Rim Alhajj

Publications and source records attributed to Rim Alhajj.

2 recordsLinked to original sources

arXiv2022

Composition Operators On De Branges-rovnyak Spaces Associated To A Rational (Not Inner) Function

In this paper, we characterize the boundedness, the compactness and the Hilbert-Schmidt property for composition operators acting from a de Branges-Rovnyak space $\mathcal H(b)$ into itself, when $b$ is a rational function in the closed unit ball of $H^\infty$ (but not a finite Blaschke product). In particular, we extend some of the results obtained by D. Sarason and J.N. Silva in the context of local Dirichlet spaces.

math.FA↗

arXiv2018

Hypercyclicity and compactness of co-analytic Toeplitz operators on de Branges-Rovnyak spaces

We study the compactness and the hypercyclicity of Toeplitz operators in the de Branges-Rovnyak spaces H(b) with co-analytic and bounded symbols on D. We highlight the fundamental role played by the function b generating the de Branges-Rovnyak space H(b). The characterization of compactness depends wether b is inner function or not and the characterization of hypercyclicity depends wether the function log(1-|b|) is integrable or not.

math.FA↗