Invertibility of sub-matrices and the octahedron width theorem

DOI10.1007/s11856-011-0132-3zbMath1269.15002OpenAlexW1971084282MaRDI QIDQ1758947

Efim D. Gluskin, Alexander Olevskiĭ

Publication date: 19 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11856-011-0132-3

zbMATH Keywords

inverse matrixoctahedronHilbert-Schmidt normKolmogorov's width

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Saturation in approximation theory (41A40)

Related Items (2)

Extracting a basis with fixed block inside a matrix ⋮ Rank deficiency of random matrices

Cites Work

• Invertibility of ``large submatrices with applications to the geometry of Banach spaces and harmonic analysis
• On \(n\)-dimensional diameters of compacts in a Hilbert space
• Diameters of octahedra
• Approximation of discrete functions and size of spectrum
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