Disjoint hypercyclic operators
Volume 182 / 2007
Studia Mathematica 182 (2007), 113-131
MSC: Primary 47A16; Secondary 30E10, 47B33, 47B38.
DOI: 10.4064/sm182-2-2
Abstract
We introduce the concept of disjoint hypercyclic operators. These are operators performing the approximation of any given vectors with a common subsequence of iterates applied on a common vector. The notion is extended to sequences of operators, and applied to composition operators and differential operators on spaces of analytic functions.
