scholarly journals Selfadjoint extensions of relations whose domain and range are orthogonal

2020 ◽  
Vol 26 (1) ◽  
pp. 39-62
Author(s):  
S. Hassi ◽  
J.-Ph. Labrousse ◽  
H.S.V. de Snoo
Keyword(s):  
Selfadjoint Extensions

scholarly journals Characterizations of positive selfadjoint extensions

2007 ◽  
Vol 135 (05) ◽  
pp. 1389-1398 ◽  
Author(s):  
Zoltán Sebestyén ◽  
Jan Stochel
Keyword(s):  
Selfadjoint Extensions

scholarly journals Correct selfadjoint and positive extensions of nondensely defined minimal symmetric operators

2005 ◽  
Vol 2005 (7) ◽  
pp. 767-790 ◽  
Author(s):  
I. Parassidis ◽  
P. Tsekrekos
Keyword(s):  
Hilbert Space ◽  
Symmetric Operator ◽  
Sufficient Conditions ◽  
Positive Definite ◽  
Selfadjoint Extension ◽  
Symmetric Operators ◽  
Selfadjoint Extensions ◽  
Positive Extensions

LetA0be a closed, minimal symmetric operator from a Hilbert spaceℍintoℍwith domain not dense inℍ. LetA^also be a correct selfadjoint extension ofA0. The purpose of this paper is (1) to characterize, with the help ofA^, all the correct selfadjoint extensionsBofA0with domain equal toD(A^), (2) to give the solution of their corresponding problems, (3) to find sufficient conditions forBto be positive (definite) whenA^is positive (definite).

scholarly journals Rank One Perturbations, Approximations, and Selfadjoint Extensions

1997 ◽  
Vol 148 (1) ◽  
pp. 152-169 ◽  
Author(s):  
S. Albeverio ◽  
P. Kurasov
Keyword(s):  
Rank One ◽  
Selfadjoint Extensions

scholarly journals Spectral Properties of Non-Selfadjoint Extensions of the Calogero Hamiltonian

2016 ◽  
Vol 59 (1) ◽  
pp. 123-140 ◽  
Author(s):  
Giorgio Metafune ◽  
Motohiro Sobajima
Keyword(s):  
Spectral Properties ◽  
Selfadjoint Extensions
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