Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

Title

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

Event Name/Location

Proceedings of the 19th ILAS Conference, Seoul, South Korea 2014

Document Type

Conference Proceeding

Publication Date

2-15-2016

Keywords

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

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.

Conference Proceeding Title

Linear Algebra and its Applications

ISSN

0024-3795

Publisher

Elsevier

DOI

10.1016/j.laa.2014.10.011

First Page

15

Last Page

29

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