An Addendum to Krein's Formula

Abstract We provide additional results in connection with Krein's formula, which describes the resolvent difference of two self-adjoint extensionsA1andA2of a densely defined closed symmetric linear operatorȦwith deficiency indices (n, n),n ∈  N  ∪ {∞}. In particular, we explicitly derive the linear fractional transformation relating the operator-valued Weyl–TitchmarshM-functionsM1(z) andM2(z) corresponding toA1andA2.

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