Abstract
Let A0 be a closed, minimal symmetric operator from a Hilbert space ℍ into ℍ with domain not dense in ℍ. Let also be a correct selfadjoint extension of A0. The purpose of this paper is (1) to characterize, with the help of , all the correct selfadjoint extensions B of A0 with domain equal to , (2) to give the solution of their corresponding problems, (3) to find sufficient conditions for B to be positive (definite) when is positive (definite).
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