Chaos of the differentiation operator on weighted Banach spaces of entire functions

DOI10.1007/s11785-011-0134-5zbMath1353.47010OpenAlexW2001201879MaRDI QIDQ371756

José Bonet, Antonio Bonilla

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/40457

zbMATH Keywords

hypercyclic operatorfrequently hypercyclic operatordifferentiation operatorchaotic operatorweighted spaces of entire functions

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Differentiation and integration operators on weighted Banach spaces of holomorphic functions, On the differential and Volterra-type integral operators on Fock-type spaces, Translation operators on weighted spaces of entire functions, A note about Volterra operators on weighted Banach spaces of entire functions, Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator, Compactness of classical operators on weighted Banach spaces of holomorphic functions, On the growth of zero-free MacLane-universal entire functions, Classical operators on the Hörmander algebras, Frequent hypercyclicity of random entire functions for the differentiation operator, Optimal growth of entire functions frequently hypercyclic for the differentiation operator, Dynamics of differentiation operators on generalized weighted Bergman spaces, Order of growth of distributionally irregular entire functions for the differentiation operator, Dynamics of the Volterra-type integral and differentiation operators on generalized Fock spaces, Disjointness of the differentiation operator tuple on weighted Banach spaces of entire functions, Optimal growth of harmonic functions frequently hypercyclic for the partial differentiation operator, Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey, Classical operators in weighted Banach spaces of holomorphic functions, Classical operators on weighted Banach spaces of entire functions, Rate of growth of distributionally chaotic functions

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