Compactness, differentiability and similarity to isometry of composition semigroups

DOI10.1090/conm/687/13726zbMath1369.47052OpenAlexW2398201098WikidataQ59890534 ScholiaQ59890534MaRDI QIDQ5351757

Jonathan R. Partington, Isabelle Chalendar

Publication date: 30 August 2017

Published in: Problems and Recent Methods in Operator Theory (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/96982/1/st-vincent-rev-mar22.pdf

zbMATH Keywords

Hardy spaceDirichlet spacecompact semigroupsemiflowdifferentiable semigroupisometric semigroupcomposition operations

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Linear composition operators (47B33) Linear accretive operators, dissipative operators, etc. (47B44) Hardy spaces (30H10)

Related Items (2)

\(C_{0}\)-semigroups of \(m\)-isometries on Hilbert spaces ⋮ Supercyclic composition \(C_0\)-semigroups

Cites Work

• A class of quasicontractive semigroups acting on Hardy and Dirichlet space
• Semigroups of linear operators and applications to partial differential equations
• Semicocycles and weighted composition semigroups on \(H^ p\)
• Semigroups of analytic functions and composition operators
• Semigroups of composition operators on the Dirichlet space
• Semigroups of composition operators on Hardy spaces of the half-plane
• Similarity to an isometry of a composition operator
• A Primer on the Dirichlet Space
• Composition Operators
• Analyticity and compactness of semigroups of composition operators
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