An Addendum to Krein's Formula

Details An Addendum to Krein's Formula An Addendum to Krein's Formula

1997-11-18

arxiv.org/abs/funct-an/9711003v1

Mathematics

Operator Algebras

LaTeX

Scientific paper

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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