Open AccessAn Alternate Proof of the De Branges Theorem on Canonical Systems
Author(s) -
Keshav Raj Acharya
Publication year - 2014
Publication title -
isrn mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-4665
pISSN - 2090-4657
DOI - 10.1155/2014/704607
Subject(s) - limit (mathematics) , relation (database) , algorithm , mathematics , pure mathematics , computer science , mathematical analysis , data mining
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 imply the limit point case. To this end, we discuss the spectral theory of a linear relation induced by a canonical system.
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