English

Decomposing a matrix into two submatrices with extremely small operator norm

Functional Analysis 2020-09-24 v1

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)(1,q)-norm of submatrices.

Keywords

Cite

@article{arxiv.2003.00979,
  title  = {Decomposing a matrix into two submatrices with extremely small operator norm},
  author = {Irina Limonova},
  journal= {arXiv preprint arXiv:2003.00979},
  year   = {2020}
}
R2 v1 2026-06-23T14:00:35.285Z