Aczél's Inequality, Superadditivity, Horistology

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


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
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Cauchy inequality, Aczél's Inequality, superadditivity, horistology, complex indefinite inner product space
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