Linear dynamics of multiplication and composition operators on \(\mathrm{Hol}(\mathbb{D})\)

DOI10.1007/S11785-024-01615-0MaRDI QIDQ6622547

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Publication date: 22 October 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

multiplication operatorFréchet spacecomposition operatorcyclicityhypercyclicity

Mathematics Subject Classification ID

Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

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• Linear chaos
• Operators with dense, invariant, cyclic vector manifolds
• Cyclic vectors of diagonal operators on the space of functions analytic on a disk
• Universal functions for composition operators with non-automorphic symbol
• Investigations of the integrals of certain functional equations.
• Cyclic composition operators on smooth weighted Hardy spaces
• In Koenigs' footsteps: diagonalization of composition operators
• Denjoy-Wolff theory and spectral properties of weighted composition operators on \(\text{Hol}(\mathbb{D})\)
• Cyclic phenomena for composition operators
• On the Iteration of Analytic Functions in a Halplane II
• On the Iteration of Analytic Functions in a Halfplane, I
• Universal families and hypercyclic operators
• The role of the spectrum in the cyclic behavior of composition operators
• Continuous Semigroups of Holomorphic Self-maps of the Unit Disc
• Linear isometries of \(\operatorname{Hol}(\mathbb{D})\)

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