On noncommutative distributional Khintchine type inequalities

Yong Jiao, Xingyan Quan, Fedor Sukochev, Dmitriy Zanin

Type: Article

Publication Date: 2024-04-29

Citations: 0

DOI: https://doi.org/10.1112/blms.13055

Abstract

Abstract The purpose of this paper is to provide distributional estimates for the series of the form with being elements from noncommutative Lorentz spaces and being Rademacher functions. To this end, we introduce a novel class of operators that are closely related to the dual Cesáro operator and construct a new extrapolation theorem that is of independent interest.

Locations

Bulletin of the London Mathematical Society - View - PDF

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Works Cited by This (28)

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+ PDF Chat	Characterization of Banach function spaces that preserve the Burkholder square-function inequality	2003	Masato Kikuchi
+ PDF Chat	The best constants in the Khintchine inequality	1981	Uffe Haagerup
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+	Rosenthal inequalities in noncommutative symmetric spaces	2011	Sjoerd Dirksen B. de Pagter Denis Potapov Fedor Sukochev
+ PDF Chat	Bounded linear operators between C∗-algebras	1993	Uffe Haagerup Gilles Pisier
+ PDF Chat	Generalized<i>s</i>-numbers of<i>τ</i>-measurable operators	1986	Thierry Fack Hideki Kosaki
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+ PDF Chat	Non commutative Khintchine and Paley inequalities	1991	Françoise Lust-Piquard Gilles Pisier
+	Symmetric norms and spaces of operators	2008	N. J. Kalton Fedor Sukochev