The Daugavet equation for operators not fixing a copy of C(S)
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copydaugavetequationfixingoperatorscompactidentityisolated
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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.
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