English

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

Functional Analysis 2025-07-02 v2

Abstract

The aim of this paper is to study the vector valued de Branges spaces, which are based on JJ-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.

Keywords

Cite

@article{arxiv.2411.01921,
  title  = {J-contractive operator valued functions, vector valued de Branges spaces and functional models},
  author = {Bharti Garg and Santanu Sarkar},
  journal= {arXiv preprint arXiv:2411.01921},
  year   = {2025}
}

Comments

Accepted in the Journal of Mathematical Analysis and Applications

R2 v1 2026-06-28T19:47:07.500Z