International Journal of Functional Analysis, Operator Theory and Applications
Volume 3, Issue 2, Pages 155 - 161
(December 2011)
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ON BEST POSSIBILITY OF AN EXTENSION OF THE FURUTA INEQUALITY
Tatsuya Koizumi and Keiichi Watanabe
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Abstract:
We prove that a certain region of parameters makes an order preserving operator inequality invalid. The result can be regarded as an extension of Tanahashi’s theorem on best possibility of the grand Furuta inequality. |
| Keywords and phrases: Löwner-Heinz inequality, Furuta inequality, order preserving operator inequality. |
| Communicated by Takashi Sano |
| Number of Downloads: 347 | Number of Views: 1126 |
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