Abstract
We propose a criterion of transversality and disjointness for the Friedrichs and Krein extensions of a nonnegative symmetric operator in terms of the vectors {φj, j ϵ 𝕁} that form a Riesz basis of the defect subspace. The criterion is applied to the Friedrichs and Krein extensions of the minimal Schrodinger operator Ad with point potentials. We also present a new proof of the fact that the Friedrichs extension of the operator Ad is a free Hamiltonian.
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