Characterization of equality in a generalized Dunkl-Williams inequality
Some new generalizations of Dunkl-Williams inequality and its inverse are established in the setting of Hilbert \(C^{*}\)-module. The case of equality in the inequality is presented and well characterized. As applications, the authors present certain new results and obtain in some special cases also known results of a recent paper of \textit{J. Pečarić} and \textit{R. Rajić} [Linear Algebra Appl. 425, No. 1, 16--25 (2007; Zbl 1133.26022)].
scientific article; zbMATH DE number 5956082
scientific article