$H^{\infty}$ functional calculus and square functions on noncommutative $L^p$-spaces

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dc.creatorJunge, Marius
dc.creatorMerdy, Christian Le
dc.creatorXu, Quanhua
dc.date2006-01-26
dc.date.accessioned2026-07-07T06:59:19Z
dc.date.available2026-07-07T06:59:19Z
dc.descriptionIn this work we investigate semigroups of operators acting on noncommutative $L^p$-spaces. We introduce noncommutative square functions and their connection to sectoriality, variants of Rademacher sectoriality, and $H^\infty$ functional calculus. We discuss several examples of noncommutative diffusion semigroups. This includes Schur multipliers, $q$-Ornstein-Uhlenbeck semigroups, and the noncommutative Poisson semigroup on free groups.
dc.description118 pages
dc.identifierhttps://arxiv.org/abs/math/0601645
dc.identifierhttp://arxiv.org/abs/math/0601645
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107708
dc.subjectFunctional Analysis
dc.subjectPrimary 47A60; Secondary 46L55, 46L69
dc.title$H^{\infty}$ functional calculus and square functions on noncommutative $L^p$-spaces
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