On the dimension of some real spaces of bounded rank matrices

被引：1
|
作者：
Causin, Andrea [1 ]
机构：
[1] Univ Sassari, DAP, I-07041 Alghero, SS, Italy
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 02期
关键词：
Hermitian matrices; K-theory; Adjoint matrices; Subspaces of bounded rank matrices; LINEAR COMBINATIONS; SYMMETRIC-MATRICES; CONSTANT RANK; VARIETIES;
D O I：
10.1016/j.laa.2010.09.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given n is an element of N, let X be either the set of hermitian or real n x n matrices of rank at least n - 1. If In is even, we give a sharp estimate on the maximal dimension of a real vector space V subset of X boolean OR {0}. The results are obtained, via K-theory, by studying a bundle map induced by the adjunction of matrices. (C) 2010 Elsevier Inc. All rights reserved.
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页码：501 / 506
页数：6
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