arXiv Analytics

Sign in

arXiv:1209.4587 [math.FA]AbstractReferencesReviewsResources

Characterisation of $L_p$-norms via Hölder's inequality

Tomasz Kochanek, Michał Lewicki

Published 2012-09-20Version 1

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.

Categories: math.FA
Subjects: 26D15, 39B05, 46B04
Related articles: Most relevant | Search more
arXiv:1412.2017 [math.FA] (Published 2014-12-05)
Hölder's inequality: some recent and unexpected applications
arXiv:1908.10348 [math.FA] (Published 2019-08-27)
Characterisation of the weak-star symmetric strong diameter 2 property in Lipschitz spaces
arXiv:1407.1275 [math.FA] (Published 2014-07-04)
Characterisation of Cesàro and $L$-Asymptotic Limits of Matrices

Links

Toolbox