TY - JOUR
AU - Moosapoor, Mansooreh
PY - 2022/11/01
Y2 - 2023/03/31
TI - On Subspace-recurrent Operators
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 53
IS - 4
SE - Papers
DO - 10.5556/j.tkjm.53.2022.3579
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3579
SP - 363-371
AB - <p>In this article, subspace-recurrent operators are presented and it is showed that the set of subspace-transitive operators is a strict subset of the set of subspace-recurrent operators. We demonstrate that despite subspace-transitive operators and subspace-hypercyclic operators, subspace-recurrent operators exist on finite dimensional spaces. We establish that operators that have a dense set of periodic points are subspace-recurrent. Especially, if $T$ is an invertible chaotic or an invertible subspace-chaotic operator, then $T^{n}$, $T^{-n}$ and $\lambda T$ are subspace-recurrent for any positive integer $n$ and any scalar $\lambda$ with absolute value $1$. Also, we state a subspace-recurrence criterion.</p>
ER -