Characterization of equality in a generalized Dunkl--Williams inequality
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 Pečarić and Rajić [Linear Algebra Appl. 425 (2007), no. 1, 16--25].
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