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Spaces ofp-vectors of bounded rank

✍ Scribed by Boaz Gelbord; Roy Meshulam


Book ID
105607625
Publisher
The Hebrew University Magnes Press
Year
2001
Tongue
English
Weight
411 KB
Volume
126
Category
Article
ISSN
0021-2172

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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)