$H^\infty $ calculus and dilatations

DOI10.24033/bsmf.2520zbMath1168.47015OpenAlexW2516905632MaRDI QIDQ5438395

Andreas Fröhlich, Lutz W. Weis

Publication date: 23 January 2008

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24033/bsmf.2520

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)

Related Items (12)

Maximal inequalities for stochastic convolutions and pathwise uniform convergence of time discretisation schemes ⋮ On the structure of semigroups on L_p with a bounded H^∞ -calculus ⋮ Resolvent characterisation of generators of cosine functions and \(C_0\)-groups ⋮ On Maximal Inequalities for Purely Discontinuous Martingales in Infinite Dimensions ⋮ Regularity of semigroups via the asymptotic behaviour at zero ⋮ Isometric dilations and 𝐻^{∞} calculus for bounded analytic semigroups and Ritt operators ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ Functional calculus and dilation for \(C_{0}\)-groups of polynomial growth ⋮ Dilation of Ritt operators on \(L^p\)-spaces ⋮ Square functions for commuting families of Ritt operators ⋮ New properties of the multivariable \(H^\infty\) functional calculus of sectorial operators ⋮ A note on maximal estimates for stochastic convolutions

Cites Work

• A generalized \(H^\infty\) functional calculus for operators on subspaces of \(L^p\) and application to maximal regularity
• The similarity problem for bounded analytic semigroups on Hilbert space
• The Kato square root problem for higher order elliptic operators and systems on \(\mathbb{R}^n\)
• Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle
• The H∞-Functional Calculus and Square Function Estimates
• A Dichotomy Theorem for the Adjoint of a Semigroup of Operators
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• The \(H^\infty\)-calculus and sums of closed operators
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