Sagae-Tanabe Weighted Means and Reverse Inequalities

  • Ahn, Eunkyung (Department of Mathematics, Kyungpook National University) ;
  • Kim, Sejung (Department of Mathematics, Kyungpook National University) ;
  • Lee, Hosoo (Department of Mathematics, Kyungpook National University) ;
  • Lim, Yongdo (Department of Mathematics, Kyungpook National University)
  • 투고 : 2007.09.11
  • 발행 : 2007.12.23

초록

In this paper we consider weighted arithmetic and geometric means of several positive definite operators proposed by Sagae and Tanabe and we establish a reverse inequality of the arithmetic and geometric means via Specht ratio and the Thompson metric on the convex cone of positive definite operators.

키워드

참고문헌

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