Characterization of equality in a generalized Dunkl--Williams inequality

Details Characterization of equality in a generalized Dunkl--Williams inequality Characterization of equality in a generalized Dunkl--Williams inequality

2011-08-06

arxiv.org/abs/1108.1470v1

J. Math. Anal. Appl. 384 (2011) 204--210

Mathematics

Functional Analysis

11 pages, appeared in J. Math Anal. Appl. (Elsevier)

Scientific paper

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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