可分L_1-预紧空间的压缩可补子空间
On contractively complemented subspaces of separable L_1-preduals
摘要：
设X是L_1-预对偶空间，K是其闭对偶球的极值点的可数线性无关子集.证明了如果K的范数闭线性跨度Y在X^* 中是w^*-闭的，则Y是X^* 中w^*-连续压缩投影的值域。本文应用这个结果对Lazar，Lindenstrauss和Zippin关于C（K）空间嵌入X的结果提供了新的和更简单的证明。
英文摘要：
Let X be an L_1-predual space and let K be a countable linearly independent subset of the extreme points of its closed dual ball. It is shown that if the norm-closed linear span Y of K is w^*-closed in X^*, then Y is the range of a w^*-continuous contractive projection in X^*. This result is applied in order to provide new and simpler proofs of the results of Lazar, Lindenstrauss and Zippin on the embedding of C(K) spaces into X.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
