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arXiv · 1209.4587

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

Tomasz Kochanek·Michał Lewicki
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Abstract

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

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Tomasz Kochanek, Michał Lewicki. 2012-09-20. Characterisation of $L_p$-norms via Hölder's inequality. https://arxiv.org/abs/1209.4587

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