Spaces of symmetric matrices containing
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S. Friedland; R. Loewy
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Article
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1999
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Elsevier Science
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English
⚖ 491 KB
Let S, (F) denote the space of all n x n symmetric matrices over the field F. Given a positive integer k such that k < n, let d(n, k, F) be the smallest integer f such that every f dimensional subspace of Sn(F) contains a nonzero matrix whose rank is at most k. It is our purpose to consider d(n,k,F)