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.
Create a lesson
Related papers
Holomorphic calculus on Lp(q) I: optimal angles
Dangyang He
Compressions of Linear Relations in Krein Spaces
Branko Ćurgus, Aad Dijksma
Independent Backward Preimages and Algebraic Radial Decompositions of Operators
Zakariae Aznay, Fadil Chabbabi, Hassan Zariouh
Spectral and mapping properties of the inverse Ornstein--Uhlenbeck operator
Tommaso Bruno, Valentina Casarino, Paolo Ciatti et al.
Dual Banach spaces with AP but without BAP
Longfa Sun, Zhenguo Wei, Zhendong Xu et al.
Real alternative Daugavet property without Daugavet property in a separable complex Banach space
Jinghao Huang, Ran Xu