Numerical index of Banach spaces of weakly or weakly-star continuous functions

被引：5
|
作者：
Lopez, Genes [1 ]
Martin, Miguel [1 ]
Meri, Javier [1 ]
机构：
[1] Univ Granada, Fac Ciencias, Dept Math Anal, E-18071 Granada, Spain
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2008年 / 38卷 / 01期
关键词：
numerical range; numerical radius; numerical index; weakly continuous functions;
D O I：
10.1216/RMJ-2008-38-1-213
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the space of weakly continuous functions from a compact Hausdorff space into a Banach space has the same numerical index as the range space. We also establish some inequalities for the numerical index of the space of weakly-star continuous functions from a compact Hausdorff space into the dual of a Banach space.
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页码：213 / 223
页数：11
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