On Subspace-Hypercyclicity of a Sequence of Operators

Subspace-hypercyclicity and subspace-transitivity is defined for operators by Madore and Martinez-Avendano in 2011. In this paper we introduce the concept of subspace-hypercyclicity and subspace-transitivity for sequences of operators. We show that subspace-hypercyclic sequences of operators are subspace-hypercyclic. Also we prove some sufficient conditions for sequences .of operators to be subspace-hypercyclic