Uniform mean ergodicity of \(C_0\)-semigroups in a class of Fréchet spaces
In this work, the authors present an extensive study of uniform mean ergodicity of \(C_0\)-semigroups of bounded linear operators on quojection Fréchet spaces, i.e., on spaces which are quotients of countable products of Banach spaces. They extend and generalize some characterizations of uniform mean ergodicity from the Banach spaces setting to that of quojection Fréchet spaces and they show that this extension fails to hold for all Fréchet spaces. Moreover, they give many interesting applications of their results for some concrete classes of \(C_0\)-semigroups, in particular, Fréchet function and sequence spaces.
quojection and prequojection Fréchet spaces
scientific article; zbMATH DE number 6341728
scientific article