@article { author = {Azimi, Mohammad Reza}, title = {Subspace-diskcyclic sequences of linear operators}, journal = {Sahand Communications in Mathematical Analysis}, volume = {08}, number = {1}, pages = {97-106}, year = {2017}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2017.23850}, abstract = {A sequence $\{T_n\}_{n=1}^{\infty}$ of bounded linear  operators on a 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 in \cite{MR1111569, MR2261697, MR2720700}) which are sufficient for the sequence $\{T_n\}_{n=1}^{\infty}$ to be subspace-diskcyclic(subspace-hypercyclic).}, keywords = {Sequences of operators,Diskcyclic vectors,Subspace-diskcyclicity,Subspace-hypercyclicity}, url = {https://scma.maragheh.ac.ir/article_23850.html}, eprint = {https://scma.maragheh.ac.ir/article_23850_39a0664f6ddf12b1b192462ffddd7aaf.pdf} }