Characterization of equality in a generalized Dunkl-Williams inequality (Q719548)
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scientific article; zbMATH DE number 5956082
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of equality in a generalized Dunkl-Williams inequality |
scientific article; zbMATH DE number 5956082 |
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Characterization of equality in a generalized Dunkl-Williams inequality (English)
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10 October 2011
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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)].
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Dunkl--Williams inequality
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triangle inequality
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pre-Hilbert \(C^{*}\)-module
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