IRREGULAR VECTORS AND SUBSPACE-HYPERCYCLIC OPERATORS
Mansooreh Moosapoor · International Journal of Pure and Apllied Mathematics · 2013
In this paper we show that if T is subspace-hypercyclic or subspacetransitive with respect to a subspace M , then T n has a dense set of irregular vectors in M for every n ∈ N .Also, we prove that if T is hyponormal or subnormal or normal or compact, for every n ∈ N , T n can not be subspacehypercyclic and subspace-chaotic.