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arXiv · 0911.1810

On the dimension of some real, bounded rank, matrix spaces

Andrea Causin
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Abstract

Given $n$ integer, let $X$ be either the set of hermitian or real $n\times n$ matrices of rank at least $n-1$. If $n$ is even, we give a sharp estimate on the maximal dimension of a real vector subspace of $X\cup\{0\}$. The rusults are obtained, via K-theory, by studying a bundle map induced by the adjugation of matrices

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Andrea Causin. 2009-11-10. On the dimension of some real, bounded rank, matrix spaces. https://arxiv.org/abs/0911.1810

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