Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions
Proceedings of the 19th ILAS Conference, Seoul, South Korea 2014
Angle, Correlation matrix, Density matrix, Isometry, Metric, Metric-preserving function, Subadditive function, Triangle inequality, Triangle triplet
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.
Conference Proceeding Title
Linear Algebra and its Applications
Castano, David Charles; Paksoy, Vehbi Emrah; and Zhang, Fuzhen, "Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions" (2016). Mathematics Faculty Proceedings, Presentations, Speeches, Lectures. 358.