Disjoint hypercyclic weighted pseudo-shifts on Banach sequence spaces

DOI10.1007/s13348-018-0216-zOpenAlexW2790851052MaRDI QIDQ1784973

Ya Wang, Ze-Hua Zhou

Publication date: 27 September 2018

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-018-0216-z

zbMATH Keywords

disjoint hypercyclicweighted pseudo-shiftsdisjoint blow-up/collapse property

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Disjoint and simultaneously hypercyclic pseudo-shifts ⋮ Disjoint Li-Yorke chaos in Fr\'echet spaces ⋮ Disjoint and simultaneous hypercyclic Rolewicz-type operators ⋮ Disjoint hypercyclic powers of weighted translations on locally compact Hausdorff spaces ⋮ Topological properties of weighted composition operators in sequence spaces ⋮ Disjoint strong transitivity of composition operators ⋮ Disjoint hypercyclic weighted pseudoshift operators generated by different shifts

Cites Work

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• Disjoint hypercyclic weighted translations generated by aperiodic elements
• Disjoint mixing operators
• Existence of disjoint weakly mixing operators that fail to satisfy the disjoint hypercyclicity criterion
• Disjoint hypercyclic linear fractional composition operators
• Dual disjoint hypercyclic operators
• Linear chaos
• A short proof of existence of disjoint hypercyclic operators
• The strong disjoint blow-up/collapse property
• Disjointness in hypercyclicity
• Weighted shifts and disjoint hypercyclicity
• The Hypercyclicity Criterion for sequences of operators
• Hypercyclic and chaotic weighted shifts
• HYPERCYCLIC OPERATOR WEIGHTED SHIFTS
• Disjoint hypercyclic operators