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

页码：89 / 100

页数：12

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