On the structure of invariant subspaces for isometric composition operators on \(H^2(\mathbb{D})\) and \(H^2(\mathbb{C}_+)\)

DOI10.1007/s00013-003-0533-6zbMath1060.47029OpenAlexW2087979686WikidataQ56319386 ScholiaQ56319386MaRDI QIDQ1423777

Jonathan R. Partington, Isabelle Chalendar

Publication date: 7 March 2004

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-003-0533-6

zbMATH Keywords

Hardy space invariant subspace shift operator composition operator

Mathematics Subject Classification ID

Dual algebras; weakly closed singly generated operator algebras (47L45) Invariant subspaces of linear operators (47A15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Linear composition operators (47B33)

Related Items (10)

Model spaces invariant under composition operators ⋮ A note on composition operators in a half-plane ⋮ Determination of inner functions by their value sets on the circle ⋮ Generators of semigroups on Banach spaces inducing holomorphic semiflows ⋮ Convergence of powers of composition operators on certain spaces of holomorphic functions defined on the right half plane ⋮ Common hypercyclic vectors for families of operators ⋮ Norm estimates for weighted composition operators on spaces of holomorphic functions ⋮ The reproducing kernel thesis for lower bounds of weighted composition operators ⋮ Adjoints of composition operators on Hardy spaces of the half-plane ⋮ Invariant subspaces for translation, dilation and multiplication semigroups

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