Isometric dilations and 𝐻^{∞} calculus for bounded analytic semigroups and Ritt operators

DOI10.1090/tran/6849zbMath1369.47017arXiv1504.00471OpenAlexW2962966453MaRDI QIDQ5348726

Stephan Fackler, Cédric Arhancet, Christian Le Merdy

Publication date: 21 August 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00471

zbMATH Keywords

semigroupdilationsectorial operatorgroup representationamenable groupfunctional calculusRitt operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Dilations, extensions, compressions of linear operators (47A20) Other representations of locally compact groups (22D12)

Related Items (17)

Functional calculus estimates for Tadmor-Ritt operators ⋮ \(H^{\infty}\) calculus for submarkovian semigroups on weighted \(L^2\) spaces ⋮ Estimates for vector-valued holomorphic functions and Littlewood–Paley–Stein theory ⋮ On multivariate Matsaev's conjecture ⋮ On joint functional calculus for Ritt operators ⋮ On dilation and commuting liftings of \(n\)-tuples of commuting Hilbert space contractions ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ Maximal ergodic inequalities for some positive operators on noncommutative Lp$L_p$‐spaces ⋮ A characterization of absolutely dilatable Schur multipliers ⋮ Harmonic analysis and BMO-spaces of free Araki--Woods factors ⋮ Dilations of semigroups on von Neumann algebras and noncommutative \(L^{p}\)-spaces ⋮ Doubly power-bounded operators on \(L^{p}\), \(2\neq p > 1\) ⋮ Square functions for commuting families of Ritt operators ⋮ New properties of the multivariable \(H^\infty\) functional calculus of sectorial operators ⋮ Dilations of Markovian semigroups of Fourier multipliers on locally compact groups ⋮ H^∞-functional calculus for commuting families of Ritt operators and sectorial operators ⋮ Markov dilations of semigroups of Fourier multipliers

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