Characterisation of L_p-norms via Hölder's inequality

2012/09/20 by Tomasz Kochanek, Kochanek, Tomasz, Michał Lewicki +1
Mathematics · #26D15 #39B05 #46B04 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1209.4587

openalex publication_date 2012/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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