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2k-inner products and 2k-Riemannian metrics

Crasmareanu, M and Dragomir, Sever S (2000) 2k-inner products and 2k-Riemannian metrics. RGMIA research report collection, 3 (3).

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The notion of 2k-inner product is introduced as a generalization of usual inner product and Q-inner product([4]-[8]). As a consequence, is defined the notion of 2k-normed space and some properties, e.g. uniformly convexity, Gâteaux differentiability and Riesz propriety of the dual, are given. Also, the notion of 2k-Riemannian metric is introduced.

Item Type: Article
Uncontrolled Keywords: 2k-inner product, 2k-norm, 2k-Riemannian metric
Subjects: FOR Classification > 0102 Applied Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 08:27
Last Modified: 23 May 2013 16:49
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