Additive preservers of non-zero decomposable tensors

被引：5

作者：

Lim, Ming-Huat ^{[1
]}

机构：

[1] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 428卷 / 01期

关键词：

additive mappings; tensor products; decomposable tensors;

D O I：

10.1016/j.laa.2007.09.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let T be an additive mapping from a tensor product of vector spaces over a field into itself. We describe T for the following two cases: (i) T is surjective and sends non-zero decomposable elements to non-zero decomposable elements, and (ii) T(A) is a non-zero decomposable element if and only if A is a non-zero decomposable element. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：239 / 253

页数：15

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