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An Addendum to Krein's Formula

Fritz Gesztesy·Konstantin A. Makarov·Eduard Tsekanovskii
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Abstract

We provide additional results in connection with Krein's formula, which describes the resolvent difference of two self-adjoint extensions A_1 and A_2 of a densely defined closed symmetric linear operator A with (possibly infinite) equal deficiency indices. In particular, we explicitly derive the linear fractional transformation relating the operator-valued Weyl-Titchmarsh M-functions M_1(z) and M_2(z) corresponding to A_1 and A_2.

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BibTeXRIS

Fritz Gesztesy, Konstantin A. Makarov, Eduard Tsekanovskii. 1997-11-18. An Addendum to Krein's Formula. https://arxiv.org/abs/funct-an/9711003

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