مشخصات پژوهش

A sequence $\{T_n\}_{n=1}^{\infty}$ of bounded linear operators on separable infinite dimensional Hilbert space $\mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $M\subseteq \mathcal{H},$ if there exists a vector $x\in \mathcal{H}$ such that the disk-scaled orbit $\{\alpha T_n x: n\in \mathbb{N}, \alpha \in\mathbb{C}, | \alpha | \leq 1\}\cap M$ is dense in $M$. The goal of this paper is the studying of subspace-diskcyclic sequence of operators like as the well known results in a single operator case. In the first section of this paper we study some conditions that imply the diskcyclicity of $\{T_n\}_{n=1}^{\infty}$. In the second section we survey some conditions and subspace-diskcyclicity criterion (analogue the results obtained by some authors % $ Le{\'o}n-Saavedra, %Fernando and M{\"u}ller, Vladim{\'{\i}}r},$ $ Madore, Blair F. and %Mart{\'{\i}}nez-Avenda{\~n}o, Rub{\'e}n A.$ in \cite{MR1111569, MR2261697, MR2720700}) which are sufficient for the sequence $\{T_n\}_{n=1}^{\infty}$ to be subspace-diskcyclic(subspace-hypercyclic).