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

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...

Full description

Saved in:
Bibliographic Details
Published inMathematics (Basel) Vol. 9; no. 7; p. 723
Main Authors Li, Yonggang, Wang, Jing, Sun, Huafei
Format Journal Article
LanguageEnglish
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
Online AccessGet full text

Cover

More Information
Summary: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 inequality; then, according to the properties of exterior algebra and the Schur-convex function, we provide a new proof for the generalization of the Lieb–Thirring–Araki theorem and Furuta theorem.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2227-7390
2227-7390
DOI:10.3390/math9070723