논문KCI 등재
SOME OPERATOR INEQUALITIES INVOLVING IMPROVED YOUNG AND HEINZ INEQUALITIES
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In this work, by applying the binomial expansion, some re nements of the Young and Heinz inequalities are proved. As an application, a determinant inequality for positive de nite matrices is obtained. Also, some operator inequalities around the Young's inequality for semide nite invertible matrices are proved.
Abstract
In this work, by applying the binomial expansion, some re nements of the Young and Heinz inequalities are proved. As an application, a determinant inequality for positive de nite matrices is obtained. Also, some operator inequalities around the Young's inequality for semide nite invertible matrices are proved.
참고문헌 (7)
- K.M.R. Audenaert, "A singular value inequality for Heinz means", Linear Algebra Appl., 422, pp.279~283 (2007)[DOI]
- D.R. Farenick, "Young's inequality in operator algebras", J. Ramanu-jan Math. Soc., 20, pp.107~124 (2005)
- T. Furuta, "Method in operator inequalities" (2005), Element
- R.A. Horn, "Matrix Analysis" (1985), Cambridge University Press
- F. Kittaneh, "Improved Young and Heinz inequalities for matrices", J. Math. Anal. Appl., 361, pp.262~269 (2010)[DOI]
- F. Kubo, "Means of positive operators", Math. Ann., 264, pp.205~224 (1980)
- J. Zhao, "Operator inequalities involving Young and its revers inequalities", J. Math. Anal. Appl., 421, pp.1779~1789 (2015)[DOI]
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