An Addendum to Krein's Formula

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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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Functional Analysis, Operator Algebras, 47A10 (primary) 47N50, 81Q10 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/33414

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/funct-an/9711003
 http://arxiv.org/abs/funct-an/9711003

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arXiv