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Applications of Arithmetic Geometric Mean Inequality
Department of Mathematics, University of Petra, Amman, Jordan
- 1 Department of Mathematics, University of Petra, Amman, Jordan
Advances in Linear Algebra & Matrix Theory·Volume 07 (2017)·Pages 29–36·Published 21 June 2017·DOI10.4236/alamt.2017.72004
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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.
KeywordsCompact OperatorInequalityPositive OperatorSingular Value
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