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An Elementary Exposition of Pisier's Inequality

2020/09/22 by Siddharth Iyer, Iyer, Siddharth, Anup Rao +7
Computer Science · Engineering · Mathematics · #Advanced Graph Theory Research #FOS: Mathematics #Functional Analysis (math.FA) #Limits and Structures in Graph Theory #Metric Geometry (math.MG) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2009.10754

openalex publication_date 2020/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Pisier's inequality is central in the study of normed spaces and has important applications in geometry. We provide an elementary proof of this inequality, which avoids some non-constructive steps from previous proofs. Our goal is to make the inequality and its proof more accessible, because we think they will find additional applications. We demonstrate this with a new type of restriction on the Fourier spectrum of bounded functions on the discrete cube.

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