Sharp triangle inequality and its reverse in Banach spaces

Mikio Kato, Kichi-Suke Saito, Takayuki Tamura

Type: Article

Publication Date: 2007-01-01

Citations: 48

DOI: https://doi.org/10.7153/mia-10-43

Abstract

We shall present a sharp triangle inequality and its reverse inequality with n elements in a Banach space X , or equivalently we shall estimate the difference n j=1 x j -n j=1 x j for given x 1 , x 2 , . . ., x n in X , where equality attainedness will be characterized.Several applications will be given.

Locations

Mathematical Inequalities & Applications - View - PDF

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+	Introduction to Banach Spaces And Their Geometry	1982	Bernard Beauzamy
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+ PDF Chat	Classical and new inequalities in analysis	1993	D. S. Mitrinović J. E. Pečarić A. M. Fink
+	Uniformly Non-Square Banach Spaces	1964	Robert James
+	Linear Differential Equations and Functional Analysis, I	1958	J. L. Massera Juan Jorge Schäffer
+ PDF Chat	Simple Norm Inequalities	2006	Lech Maligrańda