Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions
Angle, Correlation matrix, Density matrix, Isometry, Metric, Metric-preserving function, Subadditive function, Triangle inequality, Triangle triplet
Linear Algebra and its Applications
We present inequalities concerning the entries of correlation matrices, density matrices, and partial isometries through the positivity of 3×3 matrices. We extend our discussions to the inequalities concerning the triangle triplets with metric-preserving and subadditive functions.
Castano, Diego; Paksoy, Vehbi Emrah; and Zhang, Fuzhen, "Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions" (2016). Chemistry and Physics Faculty Articles. 39.