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Large affine spaces of matrices with rank bounded below

✍ Scribed by Clément de Seguins Pazzis


Book ID
113772310
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
364 KB
Volume
437
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES


Spaces of symmetric matrices containing
✍ S. Friedland; R. Loewy 📂 Article 📅 1999 🏛 Elsevier Science 🌐 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)