Locally linearly dependent operators

被引：19

作者：

Meshulam, R ^{[1
]}

Semrl, P

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Univ Ljubljana, Dept Math, SI-1000 Ljubljana, Slovenia

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2002年 / 203卷 / 02期

关键词：

D O I：

10.2140/pjm.2002.203.441

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let U and V be vector spaces over a field F. Linear operators T-1,..., T-n : U --> V are locally linearly dependent if T(1)u,...,T(n)u are linearlydependent for every u is an element of U. We extend and unify known results on locally linearly dependent operators and present two applications of these new results, one in algebra and one in functional analysis.

引用

页码：441 / 459

页数：19

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