Common cyclic vectors for the commutant of weighted differentiation

DOI10.1016/j.jmaa.2021.125867OpenAlexW3216411264MaRDI QIDQ2062607

P. Matthew Switlyk

Publication date: 27 December 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125867

zbMATH Keywords

generalized backward shiftcommon cyclicityweighted differentiation

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

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• Common cyclic entire functions for partial differential operators
• Operators with dense, invariant, cyclic vector manifolds
• Spectral synthesis and common cyclic vectors
• Cyclic behavior of holomorphic functions on a Runge region
• Common cyclic vectors for diagonal operators on the space of entire functions
• Cyclic vectors of diagonal operators on the space of entire functions
• Remarks on a result about hypercyclic non-convolution operators
• ON UNIVERSAL FUNCTIONS
• Common cyclic vectors for normal operators
• On the Salas theorem and hypercyclicity of \(f(T)\)

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