Notes about the structure of common supercyclic vectors

DOI10.1016/j.jmaa.2014.04.007zbMath1318.47017OpenAlexW1995351952MaRDI QIDQ489068

Liang Zhang, Ze-Hua Zhou

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.04.007

zbMATH Keywords

unitary orbitcommon supercyclic subspacepath of supercyclic operators

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

• The conjugate class of a supercyclic operator
• Linear chaos
• Common hypercyclic vectors for the unitary orbit of a hypercyclic operator
• Operators with dense, invariant, cyclic vector manifolds
• Common hypercyclic subspaces
• Common hypercyclic vectors for multiples of backward shift.
• Genericity of wild holomorphic functions and common hypercyclic vectors.
• Rotations of hypercyclic and supercyclic operators
• Weakly supercyclic operators
• Universal and chaotic multipliers on spaces of operators
• Common supercyclic vectors for a path of operators
• Universal families and hypercyclic operators
• Supercyclicity and weighted shifts
• How to get common universal vectors
• Supercyclic subspaces: Spectral theory and weighted shifts
• Hypercyclic subspaces of a Banach space
• Banach spaces of hypercyclic vectors
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