Chaos for power series of backward shift operators

DOI10.1090/S0002-9939-07-08658-3zbMath1115.47008OpenAlexW1888164229MaRDI QIDQ3430182

Félix Martínez-Giménez

Publication date: 21 March 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08658-3

zbMATH Keywords

hypercyclic operatorschaotic operatorsweighted backward shifts

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Locally convex Fréchet spaces and (DF)-spaces (46A04) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (9)

Chaos for linear fractional transformations of shifts ⋮ \(q\)-frequent hypercyclicity in spaces of operators ⋮ Maximal distributional chaos of weighted shift operators on Köthe sequence spaces ⋮ Topological properties of weighted composition operators in sequence spaces ⋮ Nonlocal operators are chaotic ⋮ Chaotic differential operators ⋮ Distributional chaos for backward shifts ⋮ Invariance of distributional chaos for backward shifts ⋮ CHAOS IN A CLASS OF NONCONSTANT WEIGHTED SHIFT OPERATORS

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