Bernal González, LuisPrado Tendero, José Antonio2019-06-192019-06-192001Bernal González, L. y Prado Tendero, J.A. (2001). Sequences of differential operators: exponentials, hypercyclicity and equicontinuity. Annales Polonici Mathematici, 77, 169-187.0066-22161730-6272https://hdl.handle.net/11441/87520In this paper, an eigenvalue criterion for hypercyclicity due to the first author is improved. As a consequence, some new sufficient conditions for a sequence of infinite order linear differential operators to be hypercyclic on the space of holomorphic functions on certain domains of C N are shown. Moreover, several necessary conditions are furnished. The equicontinuity of a family of operators as before is also studied, and it is even characterized if the domain is C N. The results obtained extend or improve earlier work of several authors.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Hypercyclic operators and sequencesEequicontinuous familyInfinite order linear differential operatorSubexponential and exponential typeEigenvalue criterionTotal subsetExponential functionsRunge domainPolydomaininfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.4064/ap77-2-4