Complex symmetry and cyclicity of composition operators on $H^2(\mathbb {C}_+)$

DOI10.1090/proc/14918zbMath1442.47021arXiv1908.08592OpenAlexW2982329173MaRDI QIDQ4959724

Osmar R. Severiano, S. Waleed Noor

Publication date: 7 April 2020

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

Full work available at URL: https://arxiv.org/abs/1908.08592

zbMATH Keywords

Hardy spacecomposition operatorcyclicitycomplex symmetry

Mathematics Subject Classification ID

Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (9)

Composition operators on Hardy-Smirnov spaces ⋮ Supercyclic composition \(C_0\)-semigroups ⋮ 2-complex symmetric weighted composition operators on the weighted Bergman spaces of the half-plane ⋮ Cohyponormality and complex symmetry of linear fractional composition operators on a half-plane ⋮ Interplay between complex symmetry and Koenigs eigenfunctions ⋮ Weighted composition-differentiation operators on the Hardy space ⋮ Weighted composition-differentiation operators on the Bergman space ⋮ Weighted composition operators on the Fock space ⋮ Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces

Cites Work

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• Composition operators on Hardy spaces of a half-plane
• The role of the spectrum in the cyclic behavior of composition operators
• Which Weighted Composition Operators are Complex Symmetric?
• Bounded Analytic Functions
• Complex symmetric operators and applications

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