Functional calculus and square functions in noncommutative \(L^{p}\)-spaces.

DOI10.1016/S1631-073X(03)00276-0zbMath1028.46093OpenAlexW2332940983MaRDI QIDQ1408239

Marius Junge, Christian Le Merdy, Quanhua Xu

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00276-0

zbMATH Keywords

noncommutative \(L^p\)-spacessectorial operators\(H^\infty\) functional calculussquarefunctions

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Functional calculus for linear operators (47A60) Spaces of bounded analytic functions of one complex variable (30H05) Noncommutative function spaces (46L52)

Related Items (3)

\({\mathcal{R}}\)-diagonal dilation semigroups ⋮ Strong Haagerup inequalities for free \(\mathfrak R\)-diagonal elements ⋮ Rosenthal's theorem for subspaces of noncommutative \(L_p\)

Cites Work

• Harmonic analysis on semigroups
• \(q\)-Gaussian processes: Non-commutative and classical aspects
• Non-commutative martingale inequalities
• Maximal ergodic theorems in non-commutative \(L_p\)-spaces
• On square functions associated to sectorial operators
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
• The \(H^\infty\)-calculus and sums of closed operators
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