 Resolvent identity

ID: resolvent-identity

For two points

z, w

in the resolvent set of an operator

A

R (z, A) - R (w, A) = (w - z) R (z, A) R (w, A) .

In particular, the resolvent operator is differentiable and

\partial_{z} R (z, A) = - R (z, A)^{2}

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