Sufficient criteria and sharp geometric conditions for observability in Banach spaces

Dennis Gallaun, Christian Seifert, Martin Tautenhahn

Let $X,Y$ be Banach spaces, $(S_t{)}_{t\ge 0}$ a $C_0$-semigroup on $X$, $-A$ the corresponding infinitesimal generator on $X$, $C$ a bounded linear operator from $X$ to $Y$, and $…