Sequences of differential operators: exponentials, hypercyclicity and equicontinuity

DOI10.4064/ap77-2-4zbMath0990.47031OpenAlexW2081221051MaRDI QIDQ2759190

Luis Bernal-González, J. A. Prado-Tendero

Publication date: 11 December 2001

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap77-2-4

zbMATH Keywords

orbitexponentialsequicontinuityhypercyclicRunge domainpolydomaininfinite order linear differential operatoreigenvalue criterionequicontinuous familysequences of differential operatorssubexponential and exponential typetotal subset

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Approximation in the complex plane (30E10) Linear operators on function spaces (general) (47B38) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (6)

Hypercyclic sequences of PDE-preserving operators ⋮ Universality of holomorphic functions bounded on closed sets ⋮ Universality of sequences of operators related to Taylor series ⋮ On hypercyclicity and supercyclicity criteria ⋮ Universal entire functions for affine endomorphisms of \(\mathbb C^N\) ⋮ Interpolation by hypercyclic functions for differential operators

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