COMPLETELY RANK-NONINCREASING MULTILINEAR MAPS

被引：0
|
作者：
Yousefi, Hassan [1 ]
机构：
[1] Calif State Univ Fullerton, Dept Math, Fullerton, CA 92831 USA
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2018年 / 12卷 / 02期
关键词：
rank nonincreasing; completely rank nonincreasing; multilinear maps; bilinear maps; LINEAR-MAPS; APPROXIMATE EQUIVALENCE; OPERATORS; ALGEBRAS;
D O I：
10.1215/17358787-2017-0058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend the notion of completely rank-nonincreasing (CRNI) linear maps to include the multilinear maps. We show that a bilinear map on a finite-dimensional vector space on any field is CRNI if and only if it is a skew-compression bilinear map. We also characterize CRNI continuous bilinear maps defined on the set of compact operators.
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页码：481 / 496
页数：16
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