A range matrix-type criterion for the self-adjointness of symmetric linear relations

The main objective of this paper is to provide a range-type criterion for the self-adjointness of symmetric linear relations in real or complex Hilbert spaces. The main used ingredient is a matrix whose entries are certain linear relations.

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Bibliographic Details
Published in:Acta mathematica Hungarica 2019-06, Vol.158 (1), p.27-35
Main Author: Sandovici, A.
Format: Article
Language:English
Subjects:
Criteria
Hilbert space
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrix methods
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Summary:The main objective of this paper is to provide a range-type criterion for the self-adjointness of symmetric linear relations in real or complex Hilbert spaces. The main used ingredient is a matrix whose entries are certain linear relations.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-018-0883-y