Hypercyclicity and compactness of co-analytic Toeplitz operators on de Branges-Rovnyak spaces
Functional Analysis
2018-12-19 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1812.07432,
title = {Hypercyclicity and compactness of co-analytic Toeplitz operators on de Branges-Rovnyak spaces},
author = {Rim Alhajj},
journal= {arXiv preprint arXiv:1812.07432},
year = {2018}
}