Cauchy-Schwarz inequality in semi-inner product C*-modules via polar decomposition

被引：18

作者：

Fujii, J. I. ^{[2
]}

Fujii, M. ^{[3
]}

Moslehian, M. S. ^{[1
]}

Seo, Y. ^{[4
]}

机构：

[1] Ferdowsi Univ Mashhad, CEAAS, Dept Pure Math, Mashhad 91775, Iran

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

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

[4] Shibaura Inst Technol, Coll Engn, Minuma Ku, Saitama 3378570, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 394卷 / 02期

关键词：

Hilbert C*-module; Operator inequality; Operator geometric mean; Positive operator; Kantorovich inequality;

D O I：

10.1016/j.jmaa.2012.04.083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By virtue of the operator geometric mean and the polar decomposition, we present a new Cauchy-Schwarz inequality in the framework of semi-inner product C*-modules over unital C*-algebras and discuss the equality case. We also give several additive and multiplicative type reverses of it. As an application, we present a Kantorovich type inequality on a Hilbert C*-module. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：835 / 840

页数：6

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