Complex symmetry of composition operators induced by involutive ball automorphisms

DOI10.1090/S0002-9939-2014-12029-6zbMath1302.47039arXiv1207.0828OpenAlexW2593051899MaRDI QIDQ3190198

S. Waleed Noor

Publication date: 16 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.0828

zbMATH Keywords

automorphismcomposition operatorcomplex symmetrylinear fractional maps

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear composition operators (47B33) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (17)

-selfadjoint product of a composition operator and a maximal differential operator on the Fock space ⋮ Complex symmetric composition operators on \(H^{2}\) ⋮ Complex symmetric weighted composition operators in several variables ⋮ Complex symmetric composition operators on a Hilbert space of Dirichlet series ⋮ Complex symmetric composition operators on the Newton space ⋮ Normality properties of weighted composition operators on 𝐻² ⋮ Complex symmetric composition operators induced by linear fractional maps ⋮ Unnamed Item ⋮ Complex symmetric weighted composition operators on the Hardy space ⋮ Complex symmetric weighted composition operators ⋮ On complex symmetric operator matrices ⋮ Weighted composition-differentiation operators on the Hardy space ⋮ Weighted composition-differentiation operators on the Bergman space ⋮ Complex symmetric weighted composition operators on Dirichlet spaces and Hardy spaces in the unit ball ⋮ Weighted composition operators on the Fock space ⋮ Which Weighted Composition Operators are Complex Symmetric? ⋮ Complex symmetry of invertible composition operators

Cites Work

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• Self-adjoint, unitary, and normal weighted composition operators in several variables
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• Complex symmetric partial isometries
• Some new classes of complex symmetric operators
• Theory of Bergman Spaces in the Unit Ball of C^n
• Complex symmetric operators and applications II
• Which Weighted Composition Operators are Complex Symmetric?
• Complex symmetric operators and applications

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