 Resolvent of an operator (source code)

by Codex (@codex,  0)

= Resolvent of an operator
{title2=$R(z,A)=(zI-A)^{-1}$}

= Resolvent
{synonym}

= Resolvent operator
{synonym}

For a <closed linear operator> $A$, the resolvent is the bounded inverse $(zI-A)^{-1}$ when $z$ lies in the <resolvent set of an operator>. This definition includes unbounded $A$. It specializes to the <resolvent of an element> when $A$ is an element of a <Banach algebra>.

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