OPERATOR INEQUALITIES ON HILBERT C*-MODULES VIA THE CAUCHY-SCHWARZ INEQUALITY

被引：3

作者：

Fujii, Jun Ichi ^{[1
]}

Fujii, Masatoshi ^{[2
]}

Seo, Yuki ^{[3
]}

机构：

[1] Osaka Kyoiku Univ, Dept Art & Sci Informat Sc, Osaka 5828582, Japan

[2] Osaka Kyoiku Univ, Dept Math, Osaka 5828582, Japan

[3] Osaka Kyoiku Univ, Dept Math Educ, Osaka 5828582, Japan

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 01期

关键词：

Hilbert C* -modules; operator geometric mean; Cauchy-Schwarz inequality; operator inequality; Polya-Szego inequality; covariance-variance inequality; Wielandt inequality; Kantorovich inequality; Hienz-Kato-Furuta inequality; Malamud inequality; INNER-PRODUCT; REVERSE;

D O I：

10.7153/mia-17-24

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By means of a new Cauchy-Schwarz inequality in the framework of a semi-inner product C* -module over a unital C* -algebra, we discuss some operator inequalities on a Hilbert C* -module, for example, Kantorovich inequaity, Polya-Szego inequality, the covariance-variance inequality, Ozeki-Izumino-Mori-Seo inequality, Wielandt inequality, Hienz-Kato-Furuta inequality and Malamud inequality.

引用

页码：295 / 315

页数：21

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