On certain Riesz families in vector-valued de Branges-Rovnyak spaces

Nicolas Chevrot (1) , Emmanuel Fricain (1) , Dan Timotin (2)

1 ICJ - Institut Camille Jordan
2 IMAR - "Simion Stoilow" Institute of Mathematics

We obtain criteria for the Riesz basis property for families of reproducing kernels in vector-valued de Branges-Rovnyak spaces. In particular, it is shown that in several situations the property implies a special form for the function b. We also study the completeness of a related family.

Domaines: Analyse fonctionnelle [math.FA]

Nicolas Chevrot, Emmanuel Fricain, Dan Timotin. On certain Riesz families in vector-valued de Branges-Rovnyak spaces. Journal of Mathematical Analysis and Applications, 2009, 355 (1), pp.110-125. ⟨hal-00946820⟩