Decompositions of de Branges-Rovnyak spaces
Functional Analysis
2025-06-16 v2
Abstract
We obtain orthogonal decompositions for de Branges-Rovnyak spaces \H\left( \tfrac {I^n(1+I)}{2}\right) and \H\left( \tfrac {I(1+I^2)}{2}\right), where is an inner function. We also discuss the problem of cyclicity for these spaces.
Cite
@article{arxiv.2503.18819,
title = {Decompositions of de Branges-Rovnyak spaces},
author = {Łanucha Bartosz and Michalska Małgorzata and Nowak Maria},
journal= {arXiv preprint arXiv:2503.18819},
year = {2025}
}