2k-inner products and 2k-Riemannian metrics
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Crasmareanu, Mircea and Dragomir, Sever S ORCID: 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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