New properties of the multivariable \(H^\infty\) functional calculus of sectorial operators

DOI10.1007/s00020-021-02655-3zbMath1496.47027arXiv2007.04580OpenAlexW3175084403MaRDI QIDQ2039336

Olivier Arrigoni, Christian Le Merdy

Publication date: 2 July 2021

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.04580

zbMATH Keywords

semigroupsdilationsfunctional calculus

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03) Dilations, extensions, compressions of linear operators (47A20) Sectorial operators (47B12)

Cites Work

• \(\gamma \)-bounded representations of amenable groups
• Semigroups of linear operators and applications to partial differential equations
• \(H^{\infty}\) functional calculus and square function estimates for Ritt operators
• On the \(R\)-boundedness of stochastic convolution operators
• The functional calculus for sectorial operators
• The H∞-Functional Calculus and Square Function Estimates
• Analysis in Banach Spaces
• Discrete quadratic estimates and holomorphic functional calculi in Banach spaces
• A Joint Functional Calculus for Sectorial Operators with Commuting Resolvents
• Analysis in Banach Spaces
• H^∞-functional calculus for commuting families of Ritt operators and sectorial operators
• Isometric dilations and 𝐻^{∞} calculus for bounded analytic semigroups and Ritt operators
• $H^\infty $ calculus and dilatations
• Wavelet transform for functions with values in UMD spaces
• The \(H^\infty\)-calculus and sums of closed operators
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