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

Details The Daugavet equation for operators not fixing a copy of $C(S)$ The Daugavet equation for operators not fixing a copy of $C(S)$

1996-06-12

arxiv.org/abs/math/9606211v1

Mathematics

Functional Analysis

Scientific paper

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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