A Hille--Yosida type theorem in ordered convex cones
For a given semigroup \((\Phi_t)_{t>0}\), its Laplace transform \(V_\alpha:=\int \exp(-\alpha t) \Phi_t\,dt\) defines a resolvent \((V_\alpha)_{\alpha >0}\). Under some regularity assumptions, the author proves the converse for the resolvent defined on ordered convex cones.
scientific article; zbMATH DE number 5070786