engleski

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

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. Elezović 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 Grüss type inequality.

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

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