Norm inequalities for commutators of positive operators and applications

被引：26

作者：

Kittaneh, Fuad ^{[1
]}

机构：

[1] Univ Jordan, Dept Math, Amman, Jordan

来源：

MATHEMATISCHE ZEITSCHRIFT | 2008年 / 258卷 / 04期

关键词：

commutator; positive operator; norm inequality;

D O I：

10.1007/s00209-007-0201-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X, Y, and Z be operators on a Hilbert space such that X and Z are positive. It is shown that parallel to XY-YZ parallel to <= max (parallel to X parallel to, parallel to Z parallel to)parallel to Y parallel to. Applications of this commutator inequality are given.

引用

页码：845 / 849

页数：5

共 12 条

[1] Cartesian decompositions and Schatten norms [J].

Bhatia, R ;

Kittaneh, F .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 318 (1-3) :109-116

[2] ON THE SINGULAR-VALUES OF A PRODUCT OF OPERATORS [J].

BHATIA, R ;

KITTANEH, F .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1990, 11 (02) :272-277

[3]

Bhatia R, 2003, J OPERAT THEOR, V50, P67

[4] Compact operators whose real and imaginary parts are positive [J].

Bhatia, R ;

Zhan, XZ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (08) :2277-2281

[5]

Bhatia R., 2013, MATRIX ANAL

[6]

CHO M, SPECTRAL AREA ESTIMA

[7]

Conway J. B., 2000, COURSE OPERATOR THEO

[8]

FONG CK, 1986, LINEAR ALGEBRA APPL, V74, P141

[9]

Halmos P. R., 1982, HILBERT SPACE PROBLE

[10] Norm inequalities for sums and differences of positive operators [J].

Kittaneh, F .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 383 (1-3 SPEC. ISS.) :85-91

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