A numerical range characterization of uniformly smooth banach spaces

被引：7
|
作者：
Palacios, AR [1 ]
机构：
[1] Univ Granada, Dept Anal Matemat, E-18071 Granada, Spain
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 03期
关键词：
D O I：
10.1090/S0002-9939-00-05621-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that a Banach space X is uniformly smooth if and only if, for every X-valued bounded function f on the unit sphere of X, the intrinsic numerical range of f is equal to the closed convex hull of the spatial numerical range of f.
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页码：815 / 821
页数：7
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