An Alternate Proof of the De Branges Theorem on Canonical Systems

Authors

Keshav R. Acharya, Embry-Riddle Aeronautical UniversityFollow

Submitting Campus

Daytona Beach

Department

Mathematics

Document Type

Article

Publication/Presentation Date

Spring 4-3-2014

Abstract/Description

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.

Publication Title

ISRN Mathematical Analysis

DOI

https://doi.org/10.1155/2014/704607

Publisher

Hindawi Publishing Corporation

Additional Information

Article ID 704607

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.