范围不包含c_{0}的C_{0}（L，X）上的运算符
Operators on C_{0}(L,X) whose range does not contain c_{0}
摘要：
本文得到如下结果：a）设X是非平凡Banach空间，L是不含孤立点的非空局部紧T2空间.然后每个线性算子T：C_{0}（L，X）\to C_{0}（L，X），其范围不同构地包含C_{00}，满足Daugavet等式||I+T|| =1+| |T||. b）设Γ是非空集，X，Y是Banach空间，使得X是自反的，Y不同构地包含c_{0}.则任意连续线性算子T：c_{0}（Γ，X）\to Y是弱紧的.
英文摘要：
This paper contains the following results: a) Suppose that X is a non-trivial Banach space and L is a non-empty locally compact Hausdorff space without any isolated points. Then each linear operator T: C_{0}(L,X)\to C_{0}(L,X), whose range does not contain C_{00} isomorphically, satisfies the Daugavet equality ||I+T||=1+||T||. b) Let Γbe a non-empty set and X, Y be Banach spaces such that X is reflexive and Y does not contain c_{0} isomorphically. Then any continuous linear operator T: c_{0}(Γ,X)\to Y is weakly compact.
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