Disjoint subspace-hypercyclic operators on separable Banach spaces

In this paper, we initially introduce the concept of disjoint subspace-hypercyclic operators and illustrate that disjoint subspace-hypercyclic operators differ from disjoint hypercyclic operators. Furthermore, we obtain two different criteria for disjoint subspace-hypercyclic operators. Finally, we discover an equivalent condition regarding the bilateral forward weighted shift operators’ disjoint subspace-transitivity on \(c_{0}(\mathbb {Z})\) $c_0(\mathbb{Z})$ or \(l^{p}(\mathbb {Z})\) $l^p(\mathbb{Z})$ in a certain special case.