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