MATRIX TRACE INEQUALITIES RELATED TO UNCERTAINTY PRINCIPLE-Reference-Cited by-同舟云学术

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MATRIX TRACE INEQUALITIES RELATED TO UNCERTAINTY PRINCIPLE

Published:2005-07 Issue:06 Volume:16 Page:629-645
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

KOSAKI HIDEKI¹

Affiliation:

1. Faculty of Mathematics, Kyushu University, Higashi-ku, Fukuoka 812-8581, Japan

Abstract

In their recent article, Luo and Zhang conjectured the matrix trace inequality mentioned in the introduction below, which is motivated by uncertainty principle. We present a proof for the conjectured inequality.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X0500303X

Reference8 articles.

1. Some inequalities for norms on matrices and operators

2. Homogeneity of the state space of factors of type III1

3. Convex trace functions and the Wigner-Yanase-Dyson conjecture

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