Square functions for commuting families of Ritt operators

DOI10.1007/s11785-021-01096-5OpenAlexW3138396811MaRDI QIDQ2030201

Olivier Arrigoni

Publication date: 7 June 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02270

zbMATH Keywords

square functionsfunctional calculusRitt operatorsdilation results

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60)

Cites Work

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• On discrete subordination of power bounded and Ritt operators
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• 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
• Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem.
• The \(H^\infty\)-calculus and sums of closed operators

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