On the interplay of functional analysis and operator theory (Puig de Dios, UCR)
On the interplay of functional analysis and operator theory (Puig de Dios, UCR)
Abstract: We overview some basic and striking facts concerning the theory of hypercyclic operators (considered to be born in 1982): 1. Hypercyclicity is a purely infinite-dimensional phenomenon: no finite dimensional space supports any hypercyclic operator; 2. It is not easy at all to determine whether a linear operator is hypercyclic. However, the set of hypercyclic […]