On spaces of matrices containing a nonzero matrix of bounded rank.

DOI10.2140/pjm.2002.207.157zbMath1050.15018OpenAlexW2156014914MaRDI QIDQ1879984

Raphael Loewy, Shmuel Friedland, Dmitry Falikman

Publication date: 16 September 2004

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2002.207.157

zbMATH Keywords

subspacedimensionsspaces of matricesmatrix of bounded rank

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (11)

Spaces of real matrices of fixed small rank ⋮ Matrix subspaces and determinantal hypersurfaces ⋮ On the dimension of some real spaces of bounded rank matrices ⋮ Hermitian matrices and cohomology of Kähler varieties ⋮ Generalizations of the odd degree theorem and applications ⋮ 2-adic valuations of certain ratios of products of factorials and applications ⋮ A note on spaces of symmetric matrices ⋮ The Hodge number \(h^{1,1}\) of irregular algebraic surfaces ⋮ Bases of spaces of matrices satisfying rank conditions ⋮ Random Spectrahedra ⋮ Spaces of symmetric matrices containing a nonzero matrix of bounded rank

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