Density of diskalgebra functions in de Branges-Rovnyak spaces

作者：Aleman Alexandru^*; Malman Bartosz

来源：Comptes Rendus Mathematique, 2017, 355(8): 871-875.

DOI：10.1016/j.crma.2017.07.015

We prove that functions analytic in the unit disk and continuous up to the boundary are dense in the de Branges-Rovnyak spaces induced by the extreme points of the unit ball of H-infinity. Together with previous theorems, it follows that this class of functions is dense in any de Branges-Rovnyak space.

• 出版日期2017-8