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Zbl 1134.46036
Ilisevic, Dijana; Varosanec, Sanja
On the Cauchy-Schwarz inequality and its reverse in semi-inner product $C^*$-modules. (English)
[J] Banach J. Math. Anal. 1, No. 1, 78-84, electronic only (2007). ISSN 1735-8787/e

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.

MSC 2000:: *46L08 C*-modules
26D07 Inequalities involving other types of real functions

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