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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.
Luis Bernal-González. "Disjoint hypercyclic operators." Studia Mathematica 182.2 (2007): 113-131. <http://eudml.org/doc/284682>.
@article{LuisBernal2007, 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.}, author = {Luis Bernal-González}, journal = {Studia Mathematica}, keywords = {hypercyclic operator; hypercyclic sequence; disjoint hypercyclic operators; disjoint hypercyclic sequences of operators; composition operator; differential operator; simultaneous approximation; supermixing operators}, language = {eng}, number = {2}, pages = {113-131}, title = {Disjoint hypercyclic operators}, url = {http://eudml.org/doc/284682}, volume = {182}, year = {2007}, }
TY - JOUR AU - Luis Bernal-González TI - Disjoint hypercyclic operators JO - Studia Mathematica PY - 2007 VL - 182 IS - 2 SP - 113 EP - 131 AB - 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. LA - eng KW - hypercyclic operator; hypercyclic sequence; disjoint hypercyclic operators; disjoint hypercyclic sequences of operators; composition operator; differential operator; simultaneous approximation; supermixing operators UR - http://eudml.org/doc/284682 ER -