A Note on Extreme Points in Dual Spaces

作者:Francisco Mena Jurado Juan; Carlos Navarro Pascual Juan
来源:Acta Mathematica Sinica-English Series, 2013, 29(3): 471-476.
DOI:10.1007/s10114-013-1555-z

摘要

Given a normed space X it can be easily proven that every extreme point in B-X*, the unit ball of X*, is the restriction of an extreme point in B-X***. Our purpose is to study when the restrictions of extreme points in B-X*** are extreme points in B-X*. Namely, we characterize L-1-preduals satisfying the aforementioned property.

  • 出版日期2013-3