To the theory of infinitely differentiable semigroups of operators
Mairbek Suleimanovich Bichegkuev · St Petersburg Mathematical Journal · 2011
Given a linear relation (multivalued linear operator) with certain growth restrictions on the resolvent, an infinitely differentiable semigroup of operators is constructed. It is shown that the initial linear relation is a generator of this semigroup. The results obtained are intimately related to certain results in the monograph “Functional analysis and semi-groups” by Hille and Phillips.