2k-inner products and 2k-Riemannian metrics

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Crasmareanu, Mircea and Dragomir, Sever S ORCID logoORCID: https://orcid.org/0000-0003-2902-6805 (2000) 2k-inner products and 2k-Riemannian metrics. RGMIA research report collection, 3 (3).

Abstract

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
URI https://vuir.vu.edu.au/id/eprint/17317
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords 2k-inner product, 2k-norm, 2k-Riemannian metric
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