The aim of this paper is to develop the conditions for a symmetric relation in a Hilbert space ℋ to have self-adjoint extensions in terms of defect indices and discuss some spectral theory of such linear relation.
ISRN Mathematical Analysis
Hindawi Publishing Corporation
Scholarly Commons Citation
Keshav Raj Acharya, “Self-Adjoint Extension and Spectral Theory of a Linear Relation in a Hilbert Space,” ISRN Mathematical Analysis, vol. 2014, Article ID 471640, 5 pages, 2014.