On contractively complemented subspaces of separable L_1-preduals

Details On contractively complemented subspaces of separable L_1-preduals On contractively complemented subspaces of separable L_1-preduals

2000-09-15

arxiv.org/abs/math/0009160v1

Mathematics

Functional Analysis

13 pages, AMS-LaTeX

Scientific paper

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.

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