Rank-one completions of partial matrices and completely rank-nonincreasing linear functionals

被引：12

作者：

Hadwin, D ^{[1
]}

Harrison, KJ

Ward, JA

机构：

[1] Univ New Hampshire, Dept Math, Durham, NH 03824 USA

[2] Murdoch Univ, Sch Math & Phys Sci, Murdoch, WA 6150, Australia

[3] Curtin Univ, Fac Sci, Bentley, WA 6102, Australia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 08期

关键词：

D O I：

10.1090/S0002-9939-06-08094-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain necessary and sufficient conditions for the existence and the uniqueness of rank-one completions of a partial matrix, and we verify a conjecture of Hadwin and Larson concerning the nature of completely rank-nonincreasing linear functionals defined on pattern subspaces.

引用

页码：2169 / 2178

页数：10

共 8 条

[1]

[Anonymous], 1989, OPERATOR THEORY ADV

[2] Completely rank-nonincreasing linear maps [J].