Correct selfadjoint and positive extensions of nondensely defined minimal symmetric operators

I. Parassidis and P. Tsekrekos

Abstract and Applied Analysis, 2005, vol. 2005, issue 7, 767-790

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

Date: 2005
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https://doi.org/10.1155/AAA.2005.767

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2005:y:2005:i:7:p:767-790

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