C-distribution semigroups and C-ultradistribution semigroups in locally convex spaces

Abstract

© 2017, Pleiades Publishing, Ltd. The main purpose of this paper is to study C-distribution semigroups and C-ultradistribution semigroups in the setting of sequentially complete locally convex spaces. We provide a few important theoretical novelties in this field and some interesting examples. Under consideration are stationary dense operators in a sequentially complete locally convex space.