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

Abstract

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

References in corpus (1)

• Positivity of Partitioned Hermitian Matrices with Unitarily Invariant Norms