Title

Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions

Authors

Diego Castano, Nova Southeastern UniversityFollow
Vehbi Emrah Paksoy, Nova Southeastern UniversityFollow
Fuzhen Zhang, Nova Southeastern UniversityFollow

Document Type

Article

Publication Date

2-15-2016

Publication Title

Linear Algebra and its Applications

Keywords

Angle, Correlation matrix, Density matrix, Isometry, Metric, Metric-preserving function, Subadditive function, Triangle inequality, Triangle triplet

ISSN

0024-3795

Volume

491

First Page

15

Last Page

29

Abstract

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.

Comments

MSC

• 15A03;
• 15A45;
• 39B62

Additional Comments

©2014 Elsevier Inc. All rights reserved.

NSUWorks Citation

Castano, D., Paksoy, V. E., & Zhang, F. (2016). Angles, Triangle Inequalities, Correlation Matrices and Metric-Preserving and Subadditive Functions. Linear Algebra and its Applications, 491, 15 - 29. https://doi.org/10.1016/j.laa.2014.10.011. Retrieved from https://nsuworks.nova.edu/cnso_chemphys_facarticles/39

DOI

10.1016/j.laa.2014.10.011