Reverse Cauchy-Schwarz type inequalities in pre-inner product C*-modules

被引：0

作者：

Fujii, Jun-Ichi ^{[1
]}

Fujii, Masatoshi ^{[2
]}

Moslehian, Mohammad Sal ^{[3
]}

Pecaric, Josip E. ^{[4
]}

Seo, Yuki ^{[5
]}

机构：

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

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

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

[4] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

[5] Shibaura Inst Technol, Fac Engn, Minuma Ku, Saitama 3378570, Japan

来源：

HOKKAIDO MATHEMATICAL JOURNAL | 2011年 / 40卷 / 03期

关键词：

C*-algebra; reverse Cauchy-Schwarz inequality; pre-inner product C*-module; Cassels' inequality; operator geometric mean; operator inequality; GRUSS-TYPE INEQUALITIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the framework of a pre-inner product C*-module over a unital C*-algebra, we show several reverse Cauchy-Schwarz type inequalities of additive and multiplicative types, by using some ideas in N. Elezovic et al. [Math. Inequal. Appl., 8 (2005), no. 2, 223-231]. We apply our results to give Klamkin-Mclenaghan, Shisha-Mond and Cassels type inequalities. We also present a Gruss type inequality.

引用

页码：393 / 409

页数：17

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