Hypercyclicity of the adjoint of weighted composition operators

DOI10.1007/s12044-009-0048-6zbMath1191.47008OpenAlexW2069729755MaRDI QIDQ1043866

Bahmann Yousefi, Rahmat Soltani

Publication date: 9 December 2009

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-009-0048-6

zbMATH Keywords

hypercyclic operatorweighted composition operatorDenjoy-Wolff pointFarrell-Rubel-Shields theoremloxodromic map

Mathematics Subject Classification ID

Linear composition operators (47B33) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (3)

Disjoint hypercyclicity of weighted composition operators ⋮ Weighted composition operators and supercyclicity criterion ⋮ Hereditarily transitive tuples

Cites Work

• Operators with dense, invariant, cyclic vector manifolds
• Composition operators and classical function theory
• Cyclic phenomena for composition operators
• Hypercyclicity of special operators on Hilbert function spaces
• Hypercyclic property of weighted composition operators
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