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arxiv: 1108.1470 · v1 · pith:HZGVJWIEnew · submitted 2011-08-06 · 🧮 math.FA · math.OA

Characterization of equality in a generalized Dunkl--Williams inequality

Mohammad Sal Moslehian , Farzad Dadipour This is my paper
classification 🧮 math.FA math.OA
keywords dunkl--williamsequalityinequalityresultssomealgebraapplapplications
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We establish a generalization of the Dunkl--Williams inequality and its inverse in the framework of Hilbert $C^*$-modules and characterize the equality case. As applications, we get some new results and some known results due to Pe\v{c}ari\'c and Raji\'c [Linear Algebra Appl. 425 (2007), no. 1, 16--25].

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