Degenerate $C$-ultradistribution semigroups in locally convex spaces

Marko Kostić, Stevan Pilipović, Daniel Velinov

The main subject in this paper are degenerate $C$-ultradistribution semigroups in barreled sequentially complete locally convex spaces. Here, the regularizing operator $C$ is not necessarily injective and the infinitesimal generator of semigroup is a multivalued linear operator. We also consider exponential degenerate $C$-ultradistribution semigroups.