NUMERICAL RADIUS OF RANK-1 OPERATORS ON BANACH SPACES

被引：7
|
作者：
Chica, Mario [1 ]
Martin, Miguel [1 ]
Meri, Javier [1 ]
机构：
[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain
来源：
QUARTERLY JOURNAL OF MATHEMATICS | 2014年 / 65卷 / 01期
关键词：
VALUED FUNCTION-SPACES; INDEX; SUMS;
D O I：
10.1093/qmath/has050
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the rank-1 numerical index of a Banach space, namely the infimum of the numerical radii of those rank-1 operators on the space which have norm 1. We show that the rank-1 numerical index is always greater than or equal to 1/e. We also present properties of this index and some examples.
引用
收藏
页码：89 / 100
页数：12
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