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

• Published in: Fractal and fractional Vol. 6; no. 1; p. 20
• Main Authors: Yang, Guozeng, Li, Yonggang, Wang, Jing, Sun, Huafei
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.01.2022
• Subjects: Algebra; Concavity; convexity of matrix; Deformation; deformed exponential; Eigenvalues; Inequality; Lieb concavity theorem; Pick function; Theorems

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...