Topological properties of spaces of linear operators on non-locally convex Orlicz spaces

We study the topological properties of the space $\mathcal{L}(L^{\phi },X)$ of all continuous linear operators from an Orlicz space $L^{\phi }$ (an Orlicz function $\phi$ is not necessarily convex) to a Banach space $X$. We provide the space $\mathcal{L}(L^{\phi },X)$ with the Banach space structure. Moreover, we examine the space ${\mathcal{L}}_s(L^{\phi },X)$ of all singular operators from $L^{\phi }$ to $X$.