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Reverses of the triangle inequality in Banach spaces

Dragomir, Sever S (2005) Reverses of the triangle inequality in Banach spaces. Journal of Inequalities in Pure and Applied Mathematics, 6 (5). Article no. 129 (pp.1-46). ISSN 1443-5756

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Abstract

Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained. Particular instances of interest in Hilbert spaces and for complex numbers and functions are pointed out as well.

Item Type: Article
Uncontrolled Keywords: ResPubID9400; Reverse triangle inequality, Hilbert spaces, Banach spaces, Bochner integral
Subjects: FOR Classification > 0101 Pure Mathematics
Faculty/School/Research Centre/Department > School of Engineering and Science
Depositing User: VUIR
Date Deposited: 20 Mar 2012 03:51
Last Modified: 20 Mar 2012 03:51
URI: http://vuir.vu.edu.au/id/eprint/2738
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Citations in Scopus: 13 - View on Scopus

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