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

被引：1

作者：

Yang, Guozeng ^{[1
]}

Li, Yonggang ^{[2
]}

Wang, Jing ^{[3
]}

Sun, Huafei ^{[4
,5
]}

机构：

[1] Zhengzhou Normal Univ, Sch Math & Stat, Zhengzhou 450000, Peoples R China

[2] Zhengzhou Univ Aeronaut, Sch Sci, Zhengzhou 450000, Peoples R China

[3] Beijing Wuzi Univ, Sch Informat, Beijing 101149, Peoples R China

[4] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[5] Yangtze Delta Reg Acad Beijing Inst Technol, Jiaxing 314000, Peoples R China

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 01期

关键词：

Lieb concavity theorem; deformed exponential; Pick function; convexity of matrix; TRACE FUNCTIONS; MAPS;

D O I：

10.3390/fractalfract6010020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：12

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