$q$-norms are really norms
泛函分析
2021-07-23 v2
摘要
Replacing the triangle inequality, in the definition of a norm, by , we introduce the notion of a q-norm. We establish that every q-norm is a norm in the usual sense, and that the converse is true as well.
引用
@article{arxiv.math/0503616,
title = {$q$-norms are really norms},
author = {H. Belbachir and M. Mirzavaziri and M. S. Moslehian},
journal= {arXiv preprint arXiv:math/0503616},
year = {2021}
}
备注
3 pages, major changes (title was changed and an author was added due to some improvement)