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2008 Some remarks on the triangle inequality for norms
Lech Maligranda
Banach J. Math. Anal. 2(2): 31-41 (2008). DOI: 10.15352/bjma/1240336290


Remarks about strengthening of the triangle inequality and its reverse inequality in normed spaces for two and more elements are collected. There is also a discussion on Fischer-Muszely equality for n-elements in a normed space. Some other estimates which follow from the triangle inequality are also presented.


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Lech Maligranda. "Some remarks on the triangle inequality for norms." Banach J. Math. Anal. 2 (2) 31 - 41, 2008.


Published: 2008
First available in Project Euclid: 21 April 2009

zbMATH: 1147.46020
MathSciNet: MR2404101
Digital Object Identifier: 10.15352/bjma/1240336290

Primary: 46B20
Secondary: 46B99 , 51M16

Keywords: angular distance , Fischer-Muszely equality , Inequalities‎ , norm inequality , normed space , reversed triangle inequality , triangle inequality

Rights: Copyright © 2008 Tusi Mathematical Research Group

Vol.2 • No. 2 • 2008
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