Weighted shifts and disjoint hypercyclicity

DOI10.7900/jot.2012aug20.1970zbMath1318.47010OpenAlexW1968584349MaRDI QIDQ2937188

Juan Bès, Rebecca Sanders, Özgür Martin

Publication date: 8 January 2015

Published in: Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7900/jot.2012aug20.1970

zbMATH Keywords

hypercyclic vectorshypercyclic operatorsbilateral weighted shiftunilateral weighted backward shift

Mathematics Subject Classification ID

Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces of linear operators; topological tensor products; approximation properties (46A32) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (33)

Disjoint and simultaneously hypercyclic pseudo-shifts ⋮ Some characterizations of disjoint topological transitivity on Orlicz spaces ⋮ Disjoint supercyclic weighted translations generated by aperiodic elements ⋮ Disjoint frequently hypercyclic pseudo-shifts ⋮ Disjoint supercyclic weighted shifts ⋮ Simultaneous universality ⋮ Disjoint hypercyclic weighted translations generated by aperiodic elements ⋮ Disjoint Li-Yorke chaos in Fr\'echet spaces ⋮ Disjoint supercyclic weighted pseudo-shifts on Banach sequence spaces ⋮ Disjoint and simultaneous hypercyclic Rolewicz-type operators ⋮ Disjoint hypercyclic powers of weighted translations on locally compact Hausdorff spaces ⋮ Supercyclic dynamics of translations on weighted Orlicz spaces ⋮ Characterizations of the \(d \mathcal{F} \)-transitive and \(\mathcal{F} \)-transitive families of composition operators on \(L^p\)-spaces ⋮ Distributionally \(n\)-scrambled set for weighted shift operators ⋮ Disjoint distributional chaos in Fréchet spaces ⋮ Disjoint linear dynamical properties of elementary operators ⋮ Disjoint topological transitivity for cosine operator functions on weighted Orlicz spaces ⋮ The strong disjoint blow-up/collapse property ⋮ Existence of disjoint weakly mixing operators that fail to satisfy the disjoint hypercyclicity criterion ⋮ Disjoint universality connected with differential operators ⋮ Disjoint Hypercyclicity and Topological Entropy of Composition Operators ⋮ Disjoint topological transitivity for cosine operator functions on groups ⋮ Dynamics of differentiation operators on generalized weighted Bergman spaces ⋮ Disjoint hypercyclic powers of weighted pseudo-shifts ⋮ Disjoint hypercyclic weighted pseudo-shifts on Banach sequence spaces ⋮ A note on the hypercyclicity of operator-weighted shifts ⋮ Disjoint dynamics of weighted translations on solid spaces ⋮ Unnamed Item ⋮ Disjoint topological transitivity for weighted translations generated by group actions ⋮ Unnamed Item ⋮ Disjoint hypercyclic weighted pseudoshift operators generated by different shifts ⋮ Disjoint diskcyclicity of weighted shifts ⋮ Disjoint and common hypercyclic algebras

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