Application of the Pick Function in the Lieb Concavity Theorem for Deformed Exponentials

The Lieb concavity theorem, successfully solved in the Wigner–Yanase–Dyson conjecture, is an important application of matrix concave functions. Recently, the Thompson–Golden theorem, a corollary of the Lieb concavity theorem, was extended to deformed exponentials. Hence, it is worthwhile to study th...

Full description

Saved in:
Bibliographic Details
Published inFractal and fractional Vol. 6; no. 1; p. 20
Main Authors Yang, Guozeng, Li, Yonggang, Wang, Jing, Sun, Huafei
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2022
Subjects
Algebra
Concavity
convexity of matrix
Deformation
deformed exponential
Eigenvalues
Inequality
Lieb concavity theorem
Pick function
Theorems
Online AccessGet full text

Cover

More Information
Summary:The Lieb concavity theorem, successfully solved in the Wigner–Yanase–Dyson conjecture, is an important application of matrix concave functions. Recently, the Thompson–Golden theorem, a corollary of the Lieb concavity theorem, was extended to deformed exponentials. Hence, it is worthwhile to study the Lieb concavity theorem for deformed exponentials. In this paper, the Pick function is used to obtain a generalization of the Lieb concavity theorem for deformed exponentials, and some corollaries associated with exterior algebra are obtained.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract6010020