Article ID Journal Published Year Pages File Type
4601883 Linear Algebra and its Applications 2011 6 Pages PDF
Abstract

Given n∈N, let X be either the set of hermitian or real n×n matrices of rank at least n-1. If n is even, we give a sharp estimate on the maximal dimension of a real vector space V⊂X∪{0}. The results are obtained, via K-theory, by studying a bundle map induced by the adjunction of matrices.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory