Semigroup structure underlying evoluations

[摘要] A member of a class of evolution systems is defined by averaging a one parameter family of invertible transformationsGwith a semigroupT. The resulting evolution system,U(t,s)=G(t)T(t−s)G(s)−1, preserves continuity and strong continuity, and in caseGis a linear family, may have an identifiable generator and resolvent both of which are constructed fromT. Occurrences of the class of evolutions are given to show possible applications.

[学科分类] 数学（综合）