Exponential and polynomial dichotomies of operator semigroups on Banach spaces

Abstract

Let $A$ generate a $C_0$-semigroup $T(\cdot)$ on a Banach space $X$ such that the resolvent $R(i\tau,A)$ exists and is uniformly bounded for $\tau\in{\mathbb R}$. We show that there exists a closed, possibly unbounded projection $P$ on $X$ commuting wit

Locations

• Studia Mathematica - View - PDF