Geodesic
Decomposing a Matrix into two Submatrices with Extremally Small (2,1)-Norm
Matematičeskie zametki, Tome 106 (2019) no. 1, pp. 53-61

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We consider conditions on a matrix $A$ with unit operator $(2,1)$-norm ensuring the existence of a partition of this matrix into two submatrices with $(2,1)$-norms close to $1/2$.
Keywords: submatrix, operator norm. 
@article{MZM_2019_106_1_a4,
     author = {B. S. Kashin and I. V. Limonova},
     title = {Decomposing a {Matrix} into two {Submatrices} with {Extremally} {Small} {(2,1)-Norm}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {53--61},
     publisher = {mathdoc},
     volume = {106},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_1_a4/}
}
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B. S. Kashin; I. V. Limonova. Decomposing a Matrix into two Submatrices with Extremally Small (2,1)-Norm. Matematičeskie zametki, Tome 106 (2019) no. 1, pp. 53-61. http://geodesic.mathdoc.fr/item/MZM_2019_106_1_a4/