Operator versions of the Kantorovich inequality

被引：7
|
作者：
Spain, PG
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 09期
关键词：
Kantorovich inequality; Cauchy-Schwarz inequality;
D O I：
10.1090/S0002-9939-96-03424-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Operator Kantorovich Inequality (R(2) - r(2)) u* (a* a) u less than or equal to R(2)(u* a* u)(u* au) holds for a wide class of operators a on a Hilbert space H and all operators u : K --> H for which [a] u is a partial-isometry, [a] being the range projection of a.
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页码：2813 / 2819
页数：7
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