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Decomposing a matrix into two submatrices with extremely small operator norm
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classification
math.FA
keywords
matrixextremelynormsmallsubmatricesconditionspartitiondecomposing
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abstract
We give sufficient conditions on a matrix A ensuring the existence of a partition of this matrix into two submatrices with extremely small norm of the image of any vector. Under some weak conditions on a matrix A we obtain a partition of A with the extremely small $(1,q)$-norm of submatrices.
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