The testing ground of weighted shift operators for hypercyclicity

DOI10.1007/978-981-16-0174-3_10OpenAlexW3202489192MaRDI QIDQ2067327

Kit C. Chan

Publication date: 18 January 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-0174-3_10

zbMATH Keywords

weak topologyhypercyclic vectorunilateral weighted backward shiftbilateral shiftsweak-star topology

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) General theory of locally convex spaces (46A03) Nonseparable Banach spaces (46B26) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

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• Cyclicity of vectors with orbital limit points for backward shifts
• Sums of hypercyclic operators.
• Weakly supercyclic operators
• Weak* hypercyclicity and supercyclicity of shifts on \(\ell^{\infty }\)
• Every Weakly Sequentially Hypercyclic Shift is Norm Hypercyclic
• Sums and Products of Cyclic Operators
• Somewhere dense orbits are everywhere dense
• Hypercyclic Weighted Shifts

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