We give a spectral characterization of the norm closure of the class of all weakly hypercyclic operators on a Hilbert space. Analogous results are obtained for weakly supercyclic operators.
Prajitura, Gabriel, "Limits of Weakly Hypercyclic and Supercyclic Operators" (2005). Mathematics Faculty Publications. 10.
Prajitura, G. T. (2005). Limits of Weakly Hypercyclic and Supercyclic Operators. Glasgow Mathematical Journal , 47, 2, 255-260. Available on publisher's site at http://www.esaim-cocv.org/10.1017/S0017089505002466
Copyright 2005 Cambridge University Press