کنفرانس نامساویهای ریاضی , 2008-06-08

Title : ( REVERSE CAUCHY–SCHWARZ INEQUALITIES FOR POSITIVE C-VALUED SESQUILINEAR FORMS )

Authors: Mohammad Sal Moslehian , LARS-ERIK PERSSON ,
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Abstract

We obtain some inequalities derived from the Cauchy–Schwarz inequality in inner product C-modules. We also present two reverse Cauchy–Schwarz inequalities of additive and multiplicative types in a linear space equipped with a positive sesquilinear form with values in a C-algebra.

Keywords

, C-algebra, positive element, positive linear functional, Hilbert C-module, C-valued sesquilinear form, operator inequality, norm inequality.