Frequent hypercyclicity and chaoticity of Toeplitz operators and their tensor products

DOI10.1007/s12044-021-00637-4OpenAlexW3215037519MaRDI QIDQ2062926

Zhitao Guo, Yong Lu Shu, Lin Lin Liu

Publication date: 3 January 2022

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-021-00637-4

zbMATH Keywords

Toeplitz operatorfrequent hypercyclicitychaoticitytensor products of operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Cyclic vectors, hypercyclic and chaotic operators (47A16) Tensor products of linear operators (47A80)

Cites Work

• Hypercyclic Toeplitz operators
• Linear chaos
• Operators with dense, invariant, cyclic vector manifolds
• Compositional frequent hypercyclicity on weighted Dirichlet spaces
• Universality and chaos for tensor products of operators.
• Unimodular eigenvalues and linear chaos in Hilbert spaces
• Hypercyclicity and unimodular point spectrum
• Hypercyclicity of the tensor products of multiplication operators on Hardy spaces
• Rate of growth of frequently hypercyclic functions
• An Introduction to Operators on the Hardy-Hilbert Space
• Frequently hypercyclic operators
• Frequently hypercyclic operators and vectors
• Topologically mixing hypercyclic operators
• Hypercyclic Weighted Shifts
• On orbits of elements
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