Algebrability of the set of hypercyclic vectors for backward shift operators

DOI10.1016/j.aim.2020.107082zbMath1505.47011arXiv1807.04544OpenAlexW3009474439MaRDI QIDQ2309112

Javier Falcó, Karl-Goswin Grosse-Erdmann

Publication date: 27 March 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04544

zbMATH Keywords

Fréchet algebraweighted shifthypercyclic vectoralgebrabilitydifferentiation operator

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

A few remarks on supercyclicity of non-Archimedean linear operators on \(c_0(\mathbb{N})\) ⋮ Lineability, spaceability, and latticeability of subsets of \(C([0, 1)\) and Sobolev spaces] ⋮ Lineability and unbounded, continuous and integrable functions ⋮ Growth of hypercyclic entire functions for some non-convolution operators ⋮ Baire theorem and hypercyclic algebras

Cites Work

• Unnamed Item
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• Convolution operators supporting hypercyclic algebras
• On the set of hypercyclic vectors for the differentiation operator
• Linear chaos
• Hypercyclic algebras for convolution and composition operators
• Hypercyclic algebras
• Algebrable sets of hypercyclic vectors for convolution operators
• Powers of hypercyclic functions for some classical hypercyclic operators
• Lineability
• Algebras of holomorphic functions with Hadamard multiplication

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