Let $ c_{0}:=\lbrace x:\mathbb{N}\rightarrow \mathbb{R} :\lim_{j\rightarrow\infty} x_{j}=0 \rbrace$ denote the usual Banach sequence spaces. Given Banach spaces $X,Y$ let $L(X,Y)$ denote the Banach space of bounded, linear operators from $X$ to $Y$ . Also let $ \ell_{1} :=\lbrace x:\mathbb{N}\rightarrow \mathbb{R} :\Sigma_{j=1}^{\infty}\vert x_{j}\vert <\infty \rbrace$.

is $ c_{0} $ isometrically embedding in $ L(c_{0},\ell_{1}) $ ?