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Aczél's Inequality, Superadditivity, Horistology

Balan, Trandafir T and Predoi, Maria (2002) Aczél's Inequality, Superadditivity, Horistology. RGMIA research report collection, 5 (1).

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Abstract

We show how the fundamental inequality (Cauchy / Aczél) for two vectors in a complex indefinite inner product space depends on the nature of the linear span of these vectors. The superadditivity is referred to restrained norms and metrics, from which some qualitative structures dual to topologies, and called horistologies, are refined.

Item Type: Article
Uncontrolled Keywords: Cauchy inequality, Aczél's Inequality, superadditivity, horistology, complex indefinite inner product space
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 30 Aug 2012 03:25
Last Modified: 27 Jan 2015 21:52
URI: http://vuir.vu.edu.au/id/eprint/17694
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