This is an announcement for the paper "Characterisation of $L_p$-norms via H"older's inequality" by Tomasz Kochanek and Michal Lewicki.

Abstract: We characterise $L_p$-norms on the space of integrable step functions, defined on a probabilistic space, via H"older's type inequality with an optimality condition.

Archive classification: math.FA

Mathematics Subject Classification: 26D15, 39B05, 46B04

Submitted from: t_kochanek@wp.pl

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1209.4587

or

http://arXiv.org/abs/1209.4587