Chemistry and Physics Faculty Articles

Title

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

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.

DOI

10.1016/j.laa.2014.10.011

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Peer Reviewed

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