Invertible composition operators on \(H^ p\)

DOI10.1016/0022-1236(87)90071-1zbMath0643.47034OpenAlexW2059808806MaRDI QIDQ1101934

Eric Nordgren, Peter Rosenthal, F. S. Wintrobe

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90071-1

zbMATH Keywords

minimal invariant subspacesalgebras of composition operatorscosubnormalstructure of parabolic and hyperbolic composition operatorsuniversal translates

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38)

Related Items (42)

Model spaces invariant under composition operators ⋮ An introduction to Rota's universal operators: properties, old and new examples and future issues ⋮ Some properties of composition-differentiation operators ⋮ Rota's universal operators and invariant subspaces in Hilbert spaces ⋮ OnT_u-Toeplitzness of weighted composition operators onH² ⋮ Subnormality and composition operators on \(H^ 2\) ⋮ Eigenfunctions of the hyperbolic composition operator ⋮ Local spectral theory for invertible composition operators on \(H^ p\) ⋮ Composition operators on generalized Hardy spaces ⋮ A class of invariant subspaces of weighted composition operators on the Hardy-Hilbert space ⋮ A new proof of a Nordgren, Rosenthal and Wintrobe Theorem on universal operators ⋮ Resolvent growth condition for composition operators on the Fock space ⋮ Isolation amongst composition operators on L^p(μ)-spaces (1 ≤ p ≤ ∞) ⋮ Minimal invariant subspaces for composition operators ⋮ On generalized Toeplitzness of weighted composition operators on \(H^2\) ⋮ Universal composition operators on weighted Dirichlet spaces ⋮ Composition operators with universal translates on \({S^2}(\mathbb{D})\) ⋮ Superposition operators, \(\mathcal B\)-universal functions, and the hyperbolic composition operator ⋮ Problems on Weighted and Unweighted Composition Operators ⋮ Hilbert modules over a class of semicrossed products ⋮ Unitary equivalence of one-parameter groups of Toeplitz and composition operators ⋮ Quasi-universal functions for sequences of composition operators on \(H ^{2}\) via Hoffman's theory ⋮ Orbits of non-elliptic disc automorphisms on \(H^p\) ⋮ Consequences of universality among Toeplitz operators ⋮ On the Minimal Invariant Subspaces of the Hyperbolic Composition Operator ⋮ Subnormality of weighted shifts associated to composition operators ⋮ Compressed resolvents, Schur functions, Nevanlinna families and their transformations ⋮ On scalar extensions and spectral decompositions of complex symmetric operators ⋮ Nonminimal cyclic invariant subspaces of hyperbolic composition operators ⋮ Weighted composition operators on Fock spaces and their dynamics ⋮ Möbius transformations and Blaschke products: the geometric connection ⋮ Spectral theory for algebraic combinations of Toeplitz and composition operators ⋮ Cyclic Blaschke products for composition operators ⋮ Extended eigenvalues of composition operators ⋮ Some thoughts on composition operators on subspaces of the Hardy space ⋮ On Universal Operators and Universal Pairs ⋮ The double commutant property for composition operators ⋮ Invariant subspaces for translation, dilation and multiplication semigroups ⋮ Frequently hypercyclic operators ⋮ An overview of some recent developments on the Invariant Subspace Problem ⋮ Inner functions and cyclic composition operators on \(H^2(B_n)^1\). ⋮ A hyperbolic universal operator commuting with a compact operator

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