HYPONORMAL OPERATORS, WEIGHTED SHIFTS AND WEAK FORMS OF SUPERCYCLICITY

DOI10.1017/S0013091504000975zbMath1103.47006MaRDI QIDQ5466803

Étienne Matheron, Frederic Bayart

Publication date: 22 May 2006

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

weighted shiftshyponormal operatorsKronecker setshypercyclic, supercyclic, \(n\)-supercyclic, and weakly supercyclic operators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Weak supercyclicity: dynamics of paranormal operators ⋮ Unnamed Item ⋮ Non-sequential weak supercyclicity and hypercyclicity ⋮ On weak supercyclicity II ⋮ Upper triangular matrix operators with diagonal \((T_1,T_2)\), \(T_2\) \(k\)-nilpotent ⋮ Operators commuting with the Volterra operator are not weakly supercyclic ⋮ On higher order selfadjoint operators ⋮ Weak l-sequential supercyclicity and weak quasistability ⋮ Cyclic operators with finite support ⋮ Universal families and quantum control in infinite dimensions ⋮ Universal elements for non-linear operators and their applications ⋮ Orbits of operators commuting with the Volterra operator ⋮ \(n\)-weakly hypercyclic and \(n\)-weakly supercyclic operators ⋮ A hypercyclic finite rank perturbation of a unitary operator ⋮ Hypercyclic tuples of operators on ℂⁿand ℝⁿ ⋮ Boundedly spaced subsequences and weak dynamics ⋮ Erratum to: ``PF property and property \((\beta)\) for paranormal operators ⋮ Cyclic behavior of the Cesàro operator on 𝐿₂(0,∞) ⋮ Supercyclicity of weighted composition operators on spaces of continuous functions