Selfcommutators of automorphic composition operators

DOI10.1080/17476930600797440zbMath1132.47020OpenAlexW2133758630MaRDI QIDQ3426254

Paul S. Bourdon, Barbara D. MacCluer

Publication date: 8 March 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930600797440

zbMATH Keywords

normspectrumToeplitz operatoressential spectrumessential normself-commutatorcomposition operatoressentially normalanti-self-commutator

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Commutators, derivations, elementary operators, etc. (47B47) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Linear composition operators (47B33)

Related Items (max. 100)

On the self-inverse operators ⋮ Self-commutators of automorphic composition operators on the Dirichlet space ⋮ Fixed point composition and Toeplitz-composition \(C^\ast\)-algebras ⋮ Adjoints of linear fractional composition operators on \(S^2(\mathbb D)\) ⋮ Self-commutators of composition operators with monomial symbols on the Dirichlet space ⋮ Composition operators with monomial symbol acting on weighted Hardy spaces ⋮ Commutators of composition operators with adjoints of composition operators on weighted Bergman spaces ⋮ Adjoints of rationally induced composition operators ⋮ Self-commutators of invertible weighted composition operators on ⋮ Toeplitzness of products of composition operators and their adjoints ⋮ Essential normality of linear fractional composition operators in the unit ball of \(\mathbb C^N\) ⋮ Toeplitz-composition \(\mathrm{C}^\ast\)-algebras induced by linear-fractional non-automorphism self-maps of the disk ⋮ Spectral theory for algebraic combinations of Toeplitz and composition operators ⋮ Commutators of composition operators with adjoints of composition operators on the ball ⋮ Adjoints of composition operators with irrational symbol

Cites Work

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• Linear fractional composition operators on \(H^ 2\)
• The essential norm of a composition operator
• Subnormality and composition operators on \(H^ 2\)
• Relating composition operators on different weighted Hardy spaces
• The numerical ranges of automorphic composition operators
• Which linear-fractional composition operators are essentially normal?
• Matricial ranges of quadratic operators
• The numerical range of a composition operator with conformal automorphism symbol
• The 𝐶*-algebra generated by an isometry
• Composition Operators

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