Аннотация:
The growth properties of de Branges spaces and their subspaces are studied. It is shown that, for each given pair of growth functions $\lambda(r)=O(r)$ and $\lambda_1=o(\lambda)$, there exist de Branges spaces of growth $\lambda$ that have a de Branges subspace of growth $\lambda_1$. This phenomenon cannot occur for a class of de Branges spaces that, in a certain sense, behave regularly along the real axis.
Ключевые слова:de Branges space, growth function, de Branges subspace.