The Daugavet equation for operators not fixing a copy of $C(S)$
Lutz W. Weis, Dirk Werner · arXiv (Cornell University) · 1996
We prove the norm identity $\|Id+T\| = 1+\|T\|$, which is known as the Daugavet equation, for operators $T$ on $C(S)$ not fixing a copy of $C(S)$, where $S$ is a compact metric space without isolated points.