Operator norm inequalities in semi-Hilbertian spaces

被引：6

作者：

Celeste Gonzalez, Maria ^{[1
,2
]}

机构：

[1] Inst Argentino Matemat Alberto P Calderon IAM CON, RA-1083 Buenos Aires, DF, Argentina

[2] Univ Nacl Comahue, Fac Econ & Adm, Dept Matemat, Neuquen, Argentina

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 01期

关键词：

Semi-inner products; Norm inequality; GEOMETRIC-MEAN INEQUALITY;

D O I：

10.1016/j.laa.2010.08.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we extend Cordes inequality, McIntosh inequality and CPR-inequality for the operator seminorm defined by a positive semidefinite bounded linear operator A. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：370 / 378

页数：9

共 19 条

[1] Geometric operator inequalities [J].

Andruchow, E ;

Corach, G ;

Stojanoff, D .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 258 :295-310

[2]

[Anonymous], 1996, Fields Institute Monographs

[3]

[Anonymous], MATH JAPONICA

[4] Metric properties of projections in semi-Hilbertian spaces [J].

Arias, M. Laura ;

Corach, Gustavo ;

Gonzalez, M. Celeste .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2008, 62 (01) :11-28

[5] Partial isometries in semi-Hilbertian spaces [J].

Arias, M. Laura ;

Corach, Gustavo ;

Gonzalez, M. Celeste .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (07) :1460-1475

[6] 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

[7] MORE MATRIX-FORMS OF THE ARITHMETIC-GEOMETRIC MEAN INEQUALITY [J].

BHATIA, R ;

DAVIS, C .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1993, 14 (01) :132-136

[8]

Conway J B., 1990, COURSE FUNCTIONAL AN

[9] AN OPERATOR-INEQUALITY [J].

CORACH, G ;

PORTA, H ;

RECHT, L .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 142 :153-158

[10]

Cordes H.O., 1987, LONDON MATH SOC LECT, V76

← 1 2 →