paper

J-contractive operator valued functions, vector valued de Branges spaces and functional models

arXiv:2411.01921 · doi:10.1016/j.jmaa.2025.129564

Abstract

The aim of this paper is to study the vector valued de Branges spaces, which are based on -contractive operator valued analytic functions, and to explore their role in the functional models for simple, closed, densely defined, symmetric operators with infinite deficiency indices.

Accepted in the Journal of Mathematical Analysis and Applications

J-contractive operator valued functions, vector valued de Branges spaces and functional models · wovepaper