An analytic characterization of the eigenvalues of self-adjoint extensions
نویسندگان
چکیده
Let à be a self-adjoint extension in K̃ of a fixed symmetric operator A in K ⊆ K̃. An analytic characterization of the eigenvalues of à is given in terms of the Q-function and the parameter function in the Krein–Naimark formula. Here K and K̃ are Krein spaces and it is assumed that à locally has the same spectral properties as a self-adjoint operator in a Pontryagin space. The general results are applied to a class of boundary value problems with λ-dependent boundary conditions. © 2006 Elsevier Inc. All rights reserved.
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تاریخ انتشار 2006