Degenerate $C$-distribution semigroups in locally convex spaces

Abstract

The main purpose of this paper is to investigate degenerate $C$-distribution semigroups in the setting of barreled sequentially complete locally convex spaces. In our approach, the infinitesimal generator of a degenerate $C$-distribution semigroup is a multivalued linear operator and the regularizing operator $C$ is not necessarily injective. We provide a few important theoretical novelties, considering also exponential subclasses of degenerate $C$-distribution semigroups.

arXiv admin note: substantial text overlap with arXiv:1610.02788

References in corpus (1)

• Quasi-equicontinous exponential families of generalized function $C$-semigroups in locally convex spaces