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).