Given n 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.
On the dimension of some real spaces of bounded rank matrices / Causin, Andrea. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - 434:2(2011), pp. 501-506. [10.1016/j.laa.2010.09.004]
On the dimension of some real spaces of bounded rank matrices
CAUSIN, Andrea
2011-01-01
Abstract
Given n 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.File in questo prodotto:
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