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A Characterization of Higher Rank Symmetric Spaces Via Bounded Cohomology

โœ Scribed by Mladen Bestvina; Koji Fujiwara

Publisher
Springer
Year
2009
Tongue
English
Weight
298 KB
Volume
19
Category
Article
ISSN
1016-443X

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๐Ÿ“œ SIMILAR VOLUMES

Spaces of symmetric matrices containing
Spaces of symmetric matrices containing a nonzero matrix of bounded rank
โœ S. Friedland; R. Loewy ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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)