Inequalities for sums and direct sums of Hilbert space operators

被引：21

作者：

Hirzallah, Omar

Kittaneh, Fuad

机构：

[1] Univ Jordan, Dept Math, Amman 11942, Jordan

[2] Hashemite Univ, Dept Math, Zarqa, Jordan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2007年 / 424卷 / 01期

关键词：

compact operator; singular value; unitarily invariant norm; inequality;

D O I：

10.1016/j.laa.2006.03.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove several singular value inequalities and norm inequalities involving sums and direct sums of Hilbert space operators. It is shown, among other inequalities, that if X and Y are compact operators, then the singular values of X+Y/2 are dominated by those of X circle plus Y. Applications of these inequalities are also given. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：71 / 82

页数：12

共 50 条

[31] Multiplicity of direct sums of operators on Banach spaces
Grivaux, Sophie
Roginskaya, Maria
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2009, 41 : 1041 - 1052
[32] ON THE QUASIDIAGONALITY OF DIRECT SUMS OF NORMAL OPERATORS AND SHIFTS
MARCOUX, L
[J]. MICHIGAN MATHEMATICAL JOURNAL, 1990, 37 (03) : 459 - 467
[33] Commutator inequalities for Hilbert space operators
Hirzallah, Omar
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (09) : 1571 - 1578
[34] Quadratic Inequalities for Hilbert Space Operators
V. A. Khatskevich
M. I. Ostrovskii
V. S. Shulman
[J]. Integral Equations and Operator Theory, 2007, 59 : 19 - 34
[35] On norm inequalities of operators on Hilbert space
Lin, CS
Ch, YJ
[J]. INEQUALITY THEORY AND APPLICATIONS, VOL 2, 2003, : 165 - 173
[36] Quadratic inequalities for Hilbert space operators
Khatskevich, V. A.
Ostrovskii, M. I.
Shulman, V. S.
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2007, 59 (01) : 19 - 34
[37] SUMS OF RANDOM VECTORS WITH VALUES IN A HILBERT-SPACE
VVEDENSKAYA, ER
[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 1984, 28 (04) : 797 - 800
[38] ON SUMS OF RANDOM VECTORS WITH VALUES IN HILBERT-SPACE
PROKHOROV, YV
[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 1984, 28 (02) : 375 - 379
[39] HILBERT-TYPE INEQUALITIES FOR HILBERT SPACE OPERATORS
Krnic, Mario
[J]. QUAESTIONES MATHEMATICAE, 2013, 36 (02) : 209 - 223
[40] Submajorisation inequalities for convex and concave functions of sums of measurable operators
Peter G. Dodds
Fyodor A. Sukochev
[J]. Positivity, 2009, 13 : 107 - 124

← 1 2 3 4 5 →