Complex symmetry of invertible composition operators

DOI10.1016/j.jmaa.2015.04.008zbMath1331.47039OpenAlexW2037648328MaRDI QIDQ2345472

S. Waleed Noor, Paul S. Bourdon

Publication date: 22 May 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.04.008

zbMATH Keywords

composition operatornormal operatorDenjoy-Wolff pointcomplex symmetric operatorlinear fractional mapelliptic automorphism

Mathematics Subject Classification ID

Linear composition operators (47B33) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (26)

A note on complex symmetric composition operators on the Bergman space \(A^2(\mathbb{D})\) ⋮ -selfadjoint product of a composition operator and a maximal differential operator on the Fock space ⋮ Complex symmetric composition operators on \(H^{2}\) ⋮ Composition operators on Hardy-Smirnov spaces ⋮ Complex symmetric weighted composition Lambert type operators on L^2(Σ) ⋮ Complex symmetric composition operators on the Newton space ⋮ Complex symmetry of linear combinations of composition operators on the Fock space ⋮ Normality properties of weighted composition operators on 𝐻² ⋮ Complex symmetry of invertible composition operators on weighted Bergman spaces ⋮ Complex symmetric composition operators induced by linear fractional maps ⋮ Numerical ranges of composition operators with elliptic automorphism symbols ⋮ Unnamed Item ⋮ Drazin inverse of Lambert conditional type operators ⋮ Complex symmetric weighted composition operators on the Hardy space ⋮ Complex symmetric weighted composition operators on the Fock space in several variables ⋮ Complex symmetric weighted composition operators ⋮ Unnamed Item ⋮ Interplay between complex symmetry and Koenigs eigenfunctions ⋮ Complex symmetry of composition operators on Hilbert spaces of entire Dirichlet series ⋮ Weighted composition-differentiation operators on the Hardy space ⋮ Weighted composition-differentiation operators on the Bergman space ⋮ C-selfadjointness of the product of a composition operator and a maximal differentiation operator ⋮ Complex symmetric composition operators on weighted Hardy spaces ⋮ Weighted composition operators on the Fock space ⋮ Reducible and irreducible approximation of complex symmetric operators ⋮ Reducing subspaces of complex symmetric operators

Cites Work

• Unnamed Item
• Linear fractional composition operators on \(H^ 2\)
• Complex symmetric partial isometries
• Spectra of some composition operators and associated weighted composition operators
• Some new classes of complex symmetric operators
• Cyclic phenomena for composition operators
• Complex symmetry of composition operators induced by involutive ball automorphisms
• Complex symmetric operators and applications II
• Which Weighted Composition Operators are Complex Symmetric?
• Complex symmetric operators and applications

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