On contractively complemented subspaces of separable L_1-preduals
Functional Analysis
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0009160,
title = {On contractively complemented subspaces of separable L_1-preduals},
author = {Ioannis Gasparis},
journal= {arXiv preprint arXiv:math/0009160},
year = {2007}
}
Comments
13 pages, AMS-LaTeX