Dilation of Ritt operators on \(L^p\)-spaces

DOI10.1007/s11856-014-1030-6zbMath1311.47042arXiv1106.1513OpenAlexW2963414749MaRDI QIDQ466080

Cédric Arhancet, Christian Le Merdy

Publication date: 24 October 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1513

zbMATH Keywords

Ritt operatorsquare function\(p\)-polynomially bounded propertyloose dilation

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Linear operators on function spaces (general) (47B38) Noncommutative function spaces (46L52)

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Functional calculus estimates for Tadmor-Ritt operators ⋮ A short counterexample to the inverse generator problem on non-Hilbertian reflexive \(L^p\)-spaces ⋮ On multivariate Matsaev's conjecture ⋮ Isometric dilations and 𝐻^{∞} calculus for bounded analytic semigroups and Ritt operators ⋮ Almost everywhere convergence of powers of some positive \(L_p\) contractions ⋮ On joint functional calculus for Ritt operators ⋮ Maximal ergodic inequalities for some positive operators on noncommutative Lp$L_p$‐spaces ⋮ Dilations of semigroups on von Neumann algebras and noncommutative \(L^{p}\)-spaces ⋮ \(\alpha\)-admissibility for Ritt operators ⋮ On Nörlund summation and ergodic theory, with applications to power series of Hilbert contractions ⋮ Rates of decay in the classical Katznelson-Tzafriri theorem ⋮ The Ritt property of subordinated operators in the group case ⋮ \(H^{\infty}\) functional calculus and square function estimates for Ritt operators ⋮ Square functions for commuting families of Ritt operators ⋮ Dilations of Markovian semigroups of Fourier multipliers on locally compact groups ⋮ On discrete subordination of power bounded and Ritt operators ⋮ H^∞-functional calculus for commuting families of Ritt operators and sectorial operators ⋮ Markov dilations of semigroups of Fourier multipliers

Cites Work

• Every completely polynomially bounded operator is similar to a contraction
• Perturbation and interpolation theorems for the \(H^\infty\)-calculus with applications to differential operators
• Generalized analyticity in UMD spaces
• Ergodic theorems. With a supplement by Antoine Brunel
• Non commutative Khintchine and Paley inequalities
• Complex interpolation and regular operators between Banach lattices
• Similarity problems and completely bounded maps
• Strong \(q\)-variation inequalities for analytic semigroups
• \(H^{\infty}\) functional calculus and square function estimates for Ritt operators
• A counterexample to a conjecture of Matsaev
• The functional calculus for sectorial operators
• A band limited and Besov class functional calculus for Tadmor--Ritt operators
• Dilations and rigid factorisations on noncommutative \(L^{p}\)-spaces
• Maximal regularity of discrete and continuous time evolution equations
• Square Functions for Ritt Operators on Noncommutative $L^p$-Spaces
• Complex interpolation between Hilbert, Banach and operator spaces
• Maximal theorems and square functions for analytic operators on L ^p -spaces
• On Banach spaces containing $c_{0}$. A supplement to the paper by J.Hoffman-Jørgensen "Sums of independent Banach space valued random variables"
• A Pointwise Ergodic Theorem in L_p-Spaces
• Dilations of Positive Contractions on L_p Spaces^*
• A resolvent condition implying power boundedness
• Spectral localization, power boundedness and invariant subspaces under Ritt's type condition
• A polynomially bounded operator on Hilbert space which is not similar to a contraction
• On square functions associated to sectorial operators
• On Matsaev's conjecture for contractions on noncommutative $L^p$-spaces
• $H^\infty $ calculus and dilatations
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• A Counterexample to a Problem of SZ.-Nagy
• \(C^*\)-algebras by example
• Analyticity and discrete maximal regularity on \(\ell_p\)-spaces
• The \(H^\infty\)-calculus and sums of closed operators
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