Relations between two operator inequalities motivated by the theory of operator means

被引：0

作者：

Ito, M ^{[1
]}

机构：

[1] Tokyo Univ Sci, Dept Math Informat Sci, Shinjuku Ku, Tokyo 1628601, Japan

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2005年 / 53卷 / 04期

关键词：

operator inequality; operator mean; representing function;

D O I：

10.1007/s00020-004-1321-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We shall show several results on operator inequalities motivated by the theory of operator means. As a consequence of our main result, we shall also obtain relations between two operator inequalities f(B(1/2)AB(1/2)) >= B and A >= g(A(1/2)BA(1/2)) for (not necessarily invertible) positive operators A and B, where f and g are non-negative continuous functions on [0, infinity) satisfying f (t)g(t) = t.

引用

页码：527 / 534

页数：8