A SHARP ESTIMATE IN AN OPERATOR-INEQUALITY

被引：8

作者：

MCEACHIN, R ^{[1
]}

机构：

[1] INDIANA UNIV PURDUE UNIV,DEPT MATH SCI,FT WAYNE,IN 46805

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 115卷 / 01期

关键词：

D O I：

10.2307/2159580

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H and K be Hilbert spaces, and suppose A is-an-element-of B(H) and B is-an-element-of B(K) are selfadjoint operators with dist(sigma(A), sigma(B)) is-greater-than delta > 0. It is known that for any Q is-an-element-of B(K, H) we must have pi/2 parallel-to AQ - QB parallel-to greater-than-or-equal-to delta parallel-to Q parallel-to. In this paper we give examples proving that pi/2 is sharp in this inequality.

引用

页码：161 / 165

页数：5

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