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 ₵. This provides an alternative proof of the De Branges theorem that the canonical systems with trH1 imply the limit point case. To this end, we discuss the spectral theory of a linear relation induced by a canonical system.
ISRN Mathematical Analysis
Hindawi Publishing Corporation
Scholarly Commons Citation
Keshav Raj Acharya, “An Alternate Proof of the De Branges Theorem on Canonical Systems,” ISRN Mathematical Analysis, vol. 2014, Article ID 704607, 7 pages, 2014.