Abstract
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.
Citation
Jun-Ichi FUJII. Masatoshi FUJII. Mohammad Sal MOSLEHIAN. Josip E. PEČARIĆ. Yuki SEO. "Reverse Cauchy-Schwarz type inequalities in pre-inner product C*-modules." Hokkaido Math. J. 40 (3) 393 - 409, October 2011. https://doi.org/10.14492/hokmj/1319595863
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