Reverses of the continuous triangle inequality for Bochner integral in complex Hilbert spaces (Q868766)

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scientific article; zbMATH DE number 5129633
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Reverses of the continuous triangle inequality for Bochner integral in complex Hilbert spaces
scientific article; zbMATH DE number 5129633

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    Reverses of the continuous triangle inequality for Bochner integral in complex Hilbert spaces (English)
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    26 February 2007
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    Some reverses of continuous triangle inequality for Bochner integral of vector-valued functions in complex Hilbert spaces are given. Applications for complex-valued functions are provided as well. In particular, some results of the author [JIPAM. J. Inequl. Pure Appl. Math. 6, No. 2, Paper No. 46 (2005; Zbl 1084.28007)] are improved.
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    Diaz-Metcalf inequality
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    integral inequalities
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