Journal of Inequalities and Applications
Volume 6 (2001), Issue 5, Pages 473-481
doi:10.1155/S1025583401000297

A characterization of operator order via grand Furuta

Yuki seo

Tennoji Branch, Senior Highschool, Osaka Kyoiku University, Tennoji, Osaka 543-0054, Japan

Received 10 December 1999; Revised 4 March 2000

Copyright © 2001 Yuki seo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

As an application of the grand Furuta inequality, we shall show a characterization of usual order associated with operator equation and a Kantorovich type order preserving operator inequality by using essentially the same idea of [9].