Reverses of the triangle inequality in Banach spaces

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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

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
URI https://vuir.vu.edu.au/id/eprint/2738
Official URL http://www.emis.de/journals/JIPAM/images/123_05_JI...
Subjects Current > FOR Classification > 0101 Pure Mathematics
Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Keywords ResPubID9400; Reverse triangle inequality, Hilbert spaces, Banach spaces, Bochner integral
Citations in Scopus 18 - View on Scopus
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