ON THE CAUCHY-SCHWARZ INEQUALITY AND ITS REVERSE IN SEMI-INNER PRODUCT C*-MODULES

被引：28
|
作者：
Ilisevic, Dijana [1 ]
Varosanec, Sanja [1 ]
机构：
[1] Univ Zagreb, Dept Math, Zagreb 10002, Croatia
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2007年 / 1卷 / 01期
关键词：
The Cauchy-Schwarz inequality; semi-inner product C*-module; semi-inner product H*-module;
D O I：
10.15352/bjma/1240321557
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
There are many known Cauchy-Schwarz-type inequalities which are valid in different frameworks. In this paper we consider the A-valued Cauchy-Schwarz inequality and its reverse in a semi-inner product A-module over the C*-algebra A. Some remarks on the A-valued Cauchy-Schwarz inequality in a semi-inner product A-module over the H*-algebra A are also given.
引用
收藏
页码：78 / 84
页数：7
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