Hypercyclic algebras for convolution operators with long arithmetic progressions in their zero sets

DOI10.14321/realanalexch.48.2.1674501193MaRDI QIDQ6183683

David Walmsley

Publication date: 4 January 2024

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/real-analysis-exchange/volume-48/issue-2/Hypercyclic-Algebras-for-Convolution-Operators-with-Long-Arithmetic-Progressions-in/10.14321/realanalexch.48.2.1674501193.full

zbMATH Keywords

convolution operatorshypercyclic algebras

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

• Unnamed Item
• Convolution operators supporting hypercyclic algebras
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• Baire theorem and hypercyclic algebras
• Powers of hypercyclic functions for some classical hypercyclic operators
• Sequences of derivatives and normal families
• Semi-Fredholm Theory: Hypercyclic and Supercyclic Subspaces
• Invariant Manifolds of Hypercyclic Vectors
• Hypercyclic algebras for $D$-multiples of convolution operators
• On spaceability of shift-like operators on \(L^p\)

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