Ontology type: schema:ScholarlyArticle Open Access: True
2018-08
AUTHORS ABSTRACTLet S be a symmetric operator with finite and equal defect numbers in the Hilbert space H. We study the compressions PHA~|H of the self-adjoint extensions A~ of S in some Hilbert space H~⊃H. These compressions are symmetric extensions of S in H. We characterize properties of these compressions through the corresponding parameter of A~ in M.G. Krein’s resolvent formula. If dim(H~⊖H) is finite, according to Stenger’s lemma the compression of A~ is self-adjoint. In this case we express the corresponding parameter for the compression of A~ in Krein’s formula through the parameter of the self-adjoint extension A~. More... »
PAGES41
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