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

Christian Le Merdy (1) , Quanhua Xu , Marius Junge

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

Mots clés: Functional calculus; noncommutative Lp spaces; square functions; sectorial operators; diffusion semigroups; completely bounded maps; multipliers

Domaines: Analyse fonctionnelle [math.FA]

Christian Le Merdy, Quanhua Xu, Marius Junge. $H^\infty$ functional calculus and square functions on noncommutative $L^p$-spaces. Asterisque, 2006, 305, pp.1-138. ⟨hal-00477640⟩