Article ID Journal Published Year Pages File Type
4620174 Journal of Mathematical Analysis and Applications 2009 10 Pages PDF
Abstract

We construct an example of a Banach space which is not lush, but whose dual space is lush. This example shows that lushness is not equivalent to numerical index one. A characterization of lushness for some quotient spaces of L1(μ) spaces and new results on C-rich subspaces of (scalar- or vector-valued) C(K) spaces are also presented.

Related Topics
Physical Sciences and Engineering Mathematics Analysis