An Alternate Proof of De Branges Theorem on Canonical Systems
Spectral Theory
2014-04-11 v2
Abstract
The aim of this paper is to show that, in the limit circle case, the defect index of a symmetric relation induced by canonical systems, is constant on C. This provides an alternative proof of the De Branges theorem that the canonical systems with tr H(x)=1 imply the limit point case. To this end, we discuss the spectral theory of a linear relation induced by a canonical system.
Keywords
Cite
@article{arxiv.1206.5550,
title = {An Alternate Proof of De Branges Theorem on Canonical Systems},
author = {Keshav Raj Acharya},
journal= {arXiv preprint arXiv:1206.5550},
year = {2014}
}