NUMERICAL RADIUS INEQUALITIES FOR PRODUCTS OF HILBERT SPACE OPERATORS

被引：9
作者：
Abu-Omar, Amer [1 ]
Kittaneh, Fuad [2 ]
机构：
[1] Philadelphia Univ, Dept Basic Sci & Math, Amman, Jordan
[2] Univ Jordan, Dept Math, Amman, Jordan
来源：
JOURNAL OF OPERATOR THEORY | 2014年 / 72卷 / 02期
关键词：
Numerical radius; operator norm; inequality; normal operator; self-adjoint operator; positive operator;
D O I：
10.7900/jot.2013jun12.1990
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
New numerical radius inequalities for products of two Hilbert space operators are given. Some of our inequalities improve well-known ones. Among other inequalities, it is shown that if A, B is an element of B (94), then w(AB) <= (parallel to A parallel to + D-A)w(B), where D-A = inf(z is an element of C)parallel to A - zI parallel to. Moreover, w(AB) <= parallel to A parallel to w(B) + (1/2)w(AB - BA*). In particular, if AB = BA*, then w(AB) <= parallel to A parallel to w(B).
引用
收藏
页码：521 / 527
页数：7
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