2000/09/15 by Ioannis Gasparis, I. Gasparis, Gasparis, Ioannis
Mathematics · #46B04 #46B25 #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46B04 #msc:46B25
paper · pdf · doi:10.48550/arxiv.math/0009160
13 pages, AMS-LaTeX
arxiv created 2000/09/15 · openalex publication_date 2000/09/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.