Characterisation of $L_p$-norms via H\"older's inequality
Functional Analysis
2012-09-21 v1
Abstract
We characterise -norms on the space of integrable step functions, defined on a probabilistic space, via H\"older's type inequality with an optimality condition.
Keywords
Cite
@article{arxiv.1209.4587,
title = {Characterisation of $L_p$-norms via H\"older's inequality},
author = {Tomasz Kochanek and Michał Lewicki},
journal= {arXiv preprint arXiv:1209.4587},
year = {2012}
}