TITLE:
Applications of Arithmetic Geometric Mean Inequality
AUTHORS:
Wasim Audeh
KEYWORDS:
Compact Operator, Inequality, Positive Operator, Singular Value
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.7 No.2,
June
21,
2017
ABSTRACT: The well-known arithmetic-geometric mean inequality for singular values, due to Bhatia and Kittaneh, is one of the most important singular value inequalities for compact operators. The purpose of this study is to give new singular value inequalities for compact operators and prove that these inequalities are equivalent to arithmetic-geometric mean inequality, the way by which several future studies could be done.