A characterization of group generators on Hilbert spaces and the \(H^\infty\) -calculus

DOI10.1007/s002330010165zbMath1049.47014OpenAlexW2012378824MaRDI QIDQ1865685

Markus Haase

Publication date: 27 March 2003

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002330010165

zbMATH Keywords

functional calculus\(H^\infty\)-propertyoperators with spectrum in a vertical strip

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60)

Related Items (6)

A transference principle for general groups and functional calculus on UMD spaces ⋮ Resolvent characterisation of generators of cosine functions and \(C_0\)-groups ⋮ Bounded \(H ^{\infty }\)-calculus for strip-type operators ⋮ An abstract transmission problem in a thin layer, I: Sharp estimates ⋮ CHARACTERIZATIONS OF THE SERIES GROUP GENERATORS ON HILBERT SPACES AND THE H^{\infty}-CALCULUS ⋮ AN UNBOUNDED OPERATOR WITH SPECTRUM IN A STRIP AND MATRIX DIFFERENTIAL OPERATORS

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