Strong Haagerup inequalities for free R-diagonal elements

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dc.creatorKemp, Todd
dc.creatorSpeicher, Roland
dc.date2005-12-21
dc.date2005-12-28
dc.date.accessioned2026-07-07T06:55:36Z
dc.date.available2026-07-07T06:55:36Z
dc.descriptionIn this paper, we generalize Haagerup's inequality (on convolution norm in the free group) to a very general context of R-diagonal elements in a tracial von Neumann algebra; moreover, we show that in this "holomorphic" setting, the inequality is greatly improved from its originial form. We give an elementary combinatorial proof of a very special case of our main result, and then generalize these techniques. En route, we prove a number of moment and cumulant estimates for R-diagonal elements that are of independent interest. Finally, we use our strong Haagerup inequality to prove a strong ultracontractivity theorem.
dc.description27 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0512481
dc.identifierhttp://arxiv.org/abs/math/0512481
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106328
dc.subjectOperator Algebras
dc.subjectCombinatorics
dc.subjectFunctional Analysis
dc.subject46L54 (Primary), 46L53 (Secondary)
dc.titleStrong Haagerup inequalities for free R-diagonal elements
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