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Operator norms of submatrices

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Publication:1262927
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DOI10.1007/BF01158561zbMath0687.15021MaRDI QIDQ1262927

A. A. Lunin

Publication date: 1989

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

operator normslinear mappingnorms of submatrices


Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)


Related Items (6)

Sampling discretization and related problems ⋮ Lunin's method for selecting large submatrices with small norm ⋮ Decomposing an orthogonal matrix into two submatrices with extremally small (2,1)-norm ⋮ Remarks on sampling discretization of integral norms of functions ⋮ Rademacher functions in symmetric spaces ⋮ Improved lower bounds on the rigidity of Hadamard matrices



Cites Work

  • Invertibility of ``large submatrices with applications to the geometry of Banach spaces and harmonic analysis
  • The Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization
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