English

A criterion of contractivity for four by four upper-triangular matrices

Functional Analysis 2025-06-17 v2

Abstract

We establish an explicit criterion for determining whether a 4×44 \times 4 upper-triangular matrix is a contraction with respect to the Euclidean operator norm.

Keywords

Cite

@article{arxiv.2506.10485,
  title  = {A criterion of contractivity for four by four upper-triangular matrices},
  author = {Axel Renard},
  journal= {arXiv preprint arXiv:2506.10485},
  year   = {2025}
}
R2 v1 2026-07-01T03:12:48.593Z