Stationary dense operators in sequentially complete locally convex spaces

TL;DR

This paper explores stationary dense operators in sequentially complete locally convex spaces, examining their relationship with distribution semigroups and the abstract Cauchy problem to deepen understanding of operator theory in these spaces.

Contribution

It introduces new insights into the properties of stationary dense operators and their connections to distribution semigroups in sequentially complete locally convex spaces.

Findings

Characterization of stationary dense operators

Link between operators and distribution semigroups

Implications for the abstract Cauchy problem

Abstract

The purpose of this paper is to investigate the stationary dense operators and their connection to distribution semigroups and abstract Cauchy problem in sequentially complete spaces.