Open AccessOn subspace-hypercyclic operators
Author(s) -
Can Minh Le
Publication year - 2011
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-2011-10754-8
Subject(s) - algorithm , annotation , computer science , type (biology) , semantics (computer science) , artificial intelligence , programming language , biology , ecology
In this paper we study an operator T T on a Banach space E E which is M M -hypercyclic for some subspace M M of E E . We give a sufficient condition for such an operator to be M M -hypercyclic and use it to answer negatively two questions asked by Madore and Martínez-Avendaño. We also give a sufficient condition for T T to be M M -hypercyclic for all finite co-dimensional subspaces M M in E E .