On contractively complemented subspaces of separable L1-preduals
Ioannis Gasparis
Abstract
Let X be an L1-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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