English

Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions

Functional Analysis 2014-12-10 v2

Abstract

We study the triangle inequalities for angles (with different definitions) and present inequalities concerning the entries of correlation matrices through the positivity of 3×33\times 3 matrices. We extend our discussions to the inequalities concerning the triangle triplets with metric-preserving and subadditive functions.

Keywords

Cite

@article{arxiv.1407.2800,
  title  = {Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions},
  author = {Diego Castano and Vehbi E. Paksoy and Fuzhen Zhang},
  journal= {arXiv preprint arXiv:1407.2800},
  year   = {2014}
}
R2 v1 2026-06-22T05:00:40.244Z