A hypercyclicity criterion with applications

DOI10.1016/j.jmaa.2006.05.019zbMath1108.47009OpenAlexW2028041765MaRDI QIDQ860677

Henrik Petersson

Publication date: 9 January 2007

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.2006.05.019

zbMATH Keywords

backward shifthypercyclic operatorshypercyclicity criterionleft multiplier

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 (8)

\(n\)-SOT hypercyclic linear maps on Banach algebra of operators ⋮ Norm transitive semigroups on operator algebra ⋮ Hereditarily transitive tuples ⋮ On the supercyclicity and hypercyclicity of the operator algebra ⋮ Unnamed Item ⋮ J-class sequences of linear operators ⋮ Subspace-diskcyclic sequences of linear operators ⋮ \(q\)-frequently hypercyclic operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Operators with dense, invariant, cyclic vector manifolds
• Hypercyclic sequences of PDE-preserving operators
• Hypercyclic operators on non-normable Fréchet spaces
• Hereditarily hypercylic operators
• Universal and chaotic multipliers on spaces of operators
• Hypercyclic conjugate operators
• PDE-PRESERVING PROPERTIES
• Supercyclic and Hypercyclic Non-Convolution Operators on Hilbert–Schmidt Enire Functions
• Invariant manifolds of hypercyclic vectors for the real scalar case
• CHAOS FOR BACKWARD SHIFT OPERATORS
• Hypercyclic operators on non-locally convex spaces
• Hypercyclic subspaces of a Banach space
• Banach spaces of hypercyclic vectors

This page was built for publication: A hypercyclicity criterion with applications