2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33414We 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.LaTeXFunctional AnalysisOperator Algebras47A10 (primary) 47N50, 81Q10 (secondary)text