论文标题
具有等效规范的空间C(k)
Spaces C(K) with an equivalent URED norm
论文作者
论文摘要
我们证明,连续功能的Banach空间$ c(k)$具有重新构度,当且仅当紧凑型空间$ k $都支持严格的积极措施时,在各个方向(URED)均匀旋转(URED)。
We prove that a Banach space of continuous functions $C(K)$ has a renorming that is uniformly rotund in every direction (URED) if and only if the compact space $K$ supports a strictly positive measure