Daugavet方程的初等解法
An elementary approach to the Daugavet equation
摘要：
设$T\dopu C(S)\to C(S)$是有界线性算子.我们提出了一个充要条件，所谓的Daugavet方程$$ \|\Id+T\| = 1+\|T\| $$举行，我们将其应用到弱紧算子和运营商分解通过$c_{0}$。因此，我们得到非常简单的证明结果的福亚斯，辛格，Pelczynski，Holub和其他人。
英文摘要：
Let $T\dopu C(S)\to C(S)$ be a bounded linear operator. We present a necessary and sufficient condition for the so-called Daugavet equation $$ \|\Id+T\| = 1+\|T\| $$ to hold, and we apply it to weakly compact operators and to operators factoring through $c_{0}$. Thus we obtain very simple proofs of results by Foias, Singer, Pelczynski, Holub and others.
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