On the set of hypercyclic vectors for the differentiation operator

DOI10.1007/s11856-010-0104-zzbMath1218.47017arXiv1209.0984OpenAlexW2058440265MaRDI QIDQ616525

Stanislav Shkarin

Publication date: 10 January 2011

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0984

zbMATH Keywords

entire functionsdifferentiation operatorhypercyclic subspaces

Mathematics Subject Classification ID

Entire functions of several complex variables (32A15) Cyclic vectors, hypercyclic and chaotic operators (47A16)

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Cites Work

• Unnamed Item
• Hypercyclic and cyclic vectors
• 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
• Universal families and hypercyclic operators
• Spectral theory and hypercyclic subspaces

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