Generalization of the Lieb–Thirring–Araki Inequality and Its Applications

• Published in: Mathematics (Basel) Vol. 9; no. 7; p. 723
• Main Authors: Li, Yonggang, Wang, Jing, Sun, Huafei
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.04.2021
• Subjects: Algebra; Eigenvalues; Inequality; Interpolation; Lieb–Thirring–Araki theorem; Mathematical functions; matrix eigenvalue; Matrix methods; Operators (mathematics); Theorems; Thompson–Golden theorem

The matrix eigenvalue is very important in matrix analysis, and it has been applied to matrix trace inequalities, such as the Lieb–Thirring–Araki theorem and Thompson–Golden theorem. In this manuscript, we obtain a matrix eigenvalue inequality by using the Stein–Hirschman operator interpolation ineq...