Boundary triples and Weyl functions for singular perturbations of self-adjoint operators

Details Boundary triples and Weyl functions for singular perturbations of self-adjoint operators Boundary triples and Weyl functions for singular perturbations of self-adjoint operators

2003-09-04

arxiv.org/abs/math/0309077v2

Mathematics

Functional Analysis

Misprints corrected. To appear in Methods of Functional Analysis and Topology

Scientific paper

Given the symmetric operator $A_N$ obtained by restricting the self-adjoint
operator $A$ to $N$, a linear dense set, closed with respect to the graph norm,
we determine a convenient boundary triple for the adjoint $A_N^*$ and the
corresponding Weyl function. These objects provide us with the self-adjoint
extensions of $A_N$ and their resolvents.

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