Invertibility of sub-matrices and the octahedron width theorem

Author:

Gluskin E.,Olevskii A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference10 articles.

1. J. Bourgain and L. Tzafriri, Invertibility of “large” submatrices with application to the geometry of Banach spaces and harmonic analysis, Israel Journal of Mathematics 57 (1987), 137–224.

2. F. R. Gantmakher, The Theory of Matrices, Chelsea, New York, 1959.

3. I. Gohberg and M. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators, American Mathematical Society, Providence, RI, 1969.

4. R. S. Ismagilov, On n-dimensional diameters of compacts in a Hilbert space, (Russian) Functional Analysis and Its Application 2 (1968), 32–39.

5. A. N. Kolmogorov, A. A. Petrov and Yu. M. Smirnov, A formula of Gauss in the theory of the method of least squares, (Russian), Izvestiya Akad, Nauk SSSR, Ser. matem. 11 (1947), 561–566.

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1. Rank deficiency of random matrices;Electronic Communications in Probability;2022-01-01

2. Modular Bourgain-Tzafriri Restricted Invertibility Conjectures and Johnson-Lindenstrauss Flattening Conjecture;SSRN Electronic Journal;2022

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