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 | Historical > 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 | 20 - View on Scopus |
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