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

Rim Alhajj

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arXiv · 1812.07432

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

Rim Alhajj

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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.

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BibTeX RIS

Rim Alhajj. 2018-12-18. Hypercyclicity and compactness of co-analytic Toeplitz operators on de Branges-Rovnyak spaces. https://arxiv.org/abs/1812.07432

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