A new class of operators and a description of adjoints of composition operators

DOI10.1016/j.jfa.2006.04.031zbMath1106.47023OpenAlexW2038257216MaRDI QIDQ852586

Carl C. Cowen, Eva A. Gallardo-Gutiérrez

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.04.031

zbMATH Keywords

reproducing kernelcomposition operatoradjoint of an operator

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Linear composition operators (47B33)

Related Items (33)

Monomial operators ⋮ The adjoint of a composition operator via its action on the Szegő kernel ⋮ Hermitian weighted composition operators and Bergman extremal functions ⋮ Reproducing kernel Hilbert spaces supporting nontrivial Hermitian weighted composition operators ⋮ Essentially normal composition operators on \(H^{2}\) ⋮ Non-weakly supercyclic weighted composition operators ⋮ Kernels of adjoints of composition operators with rational symbols of degree two ⋮ Normality properties of weighted composition operators on 𝐻² ⋮ On the selfcommutator of automorphic composition operators ⋮ Adjoints of composition operators with linear fractional symbols on the Dirichlet space of the disk or the ball ⋮ Asymptotic Müntz–Szász theorems ⋮ Composition operators on the Bergman space with quasiconformal symbols ⋮ Adjoints of linear fractional composition operators on \(S^2(\mathbb D)\) ⋮ Self-adjoint, unitary, and normal weighted composition operators in several variables ⋮ Unitary weighted composition operators on the Fock space of \(\mathbb C ^n\) ⋮ Weighted composition operators between different Fock spaces ⋮ Weighted composition operator on quaternionic Fock space ⋮ Toeplitz-composition $C^{*}$-algebras for certain finite Blaschke products ⋮ Adjoints of rationally induced weighted composition operators on the Hardy, Bergman and Dirichlet spaces ⋮ Adjoints of composition operators with rational symbol ⋮ Adjoints of rationally induced composition operators ⋮ Hermitian weighted composition operators on $H^{2}$ ⋮ Adjoints of composition operators on Hilbert spaces of analytic functions ⋮ Spectra of some invertible weighted composition operators on Hardy and weighted Bergman spaces in the unit ball ⋮ Asymptotics and isometries of weighted composition operators on Banach spaces of holomorphic functions ⋮ Adjoints of composition operators with irrational symbol ⋮ Essential norm of the difference of composition operators on Bloch space ⋮ Skew-symmetric and essentially unitary operators via Berezin symbols ⋮ Adjoints of composition operators on Hardy spaces of the half-plane ⋮ Normal and isometric weighted composition operators on the Fock space ⋮ Linear fractional composition operators on the Dirichlet space in the unit ball ⋮ Posinormal composition operators on \(H^2\) ⋮ Differences of the products of integral type and composition operators fromH^∞to the Bloch space

Cites Work

• Linear fractional composition operators on \(H^ 2\)
• Composition operators and classical function theory
• Adjoints of linear fractional composition operators on the Dirichlet space
• The Commutant of an Analytic Toeplitz Operator
• Adjoints of a class of composition operators
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