An Addendum to Krein's Formula
funct-an
2007-05-23 v1 Operator Algebras
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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Cite
@article{arxiv.funct-an/9711003,
title = {An Addendum to Krein's Formula},
author = {Fritz Gesztesy and Konstantin A. Makarov and Eduard Tsekanovskii},
journal= {arXiv preprint arXiv:funct-an/9711003},
year = {2007}
}
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